메뉴 건너뛰기




Volumn 1, Issue , 2002, Pages 75-136

Chapter 3 Extremal quasiconformal mappings of the disk

Author keywords

[No Author keywords available]

Indexed keywords


EID: 14644406718     PISSN: 18745709     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1874-5709(02)80005-1     Document Type: Chapter
Times cited : (32)

References (351)
  • 1
    • 51849172737 scopus 로고
    • On quasiconformal mappings
    • Ahlfors L.V. On quasiconformal mappings. J. Anal. Math. 3 (1954) 1-58
    • (1954) J. Anal. Math. , vol.3 , pp. 1-58
    • Ahlfors, L.V.1
  • 2
    • 51849172683 scopus 로고
    • On quasiconformal mappings
    • Ahlfors L.V. On quasiconformal mappings. J. Anal. Math. 3 (1954) 207-208
    • (1954) J. Anal. Math. , vol.3 , pp. 207-208
    • Ahlfors, L.V.1
  • 4
    • 0010687190 scopus 로고
    • Conformality with respect to Riemannian Metrics
    • Ahlfors L.V. Conformality with respect to Riemannian Metrics. Ann. Acad. Sci. Fenn. 206 (1955) 1-22
    • (1955) Ann. Acad. Sci. Fenn. , vol.206 , pp. 1-22
    • Ahlfors, L.V.1
  • 6
    • 0003360861 scopus 로고
    • Lectures on Quasiconformal Mappings
    • Princeton
    • Ahlfors L.V. Lectures on Quasiconformal Mappings. Van Nostrand Math. Studies Vol. 10 (1966), Princeton
    • (1966) Van Nostrand Math. Studies , vol.10
    • Ahlfors, L.V.1
  • 7
    • 67649317742 scopus 로고    scopus 로고
    • Mathematical Reviews 34#336
    • Mathematical Reviews 34#336
  • 8
    • 0039569722 scopus 로고
    • Sufficient Conditions for Quasi-Conformal Extension
    • Greenberg L. (Ed), Princeton
    • Ahlfors L.V. Sufficient Conditions for Quasi-Conformal Extension. In: Greenberg L. (Ed). Ann. Math. Studies Vol. 79 (1974), Princeton
    • (1974) Ann. Math. Studies , vol.79
    • Ahlfors, L.V.1
  • 9
    • 67649370045 scopus 로고    scopus 로고
    • Mathematical Reviews 51#10615
    • Mathematical Reviews 51#10615
  • 10
    • 0001190134 scopus 로고
    • Riemann's mapping theorem for variable metrics
    • Ahlfors L.V., and Bers L. Riemann's mapping theorem for variable metrics. Ann. Math. 72 (1960) 385-404
    • (1960) Ann. Math. , vol.72 , pp. 385-404
    • Ahlfors, L.V.1    Bers, L.2
  • 11
    • 67649309219 scopus 로고    scopus 로고
    • Mathematical Reviews 22#5813
    • Mathematical Reviews 22#5813
  • 12
    • 51249180867 scopus 로고
    • The extremum problem for analytic functions with finite area integral
    • Anderson J.M. The extremum problem for analytic functions with finite area integral. Comment. Math. Helv. 55 (1980) 87-96
    • (1980) Comment. Math. Helv. , vol.55 , pp. 87-96
    • Anderson, J.M.1
  • 13
    • 67649303863 scopus 로고    scopus 로고
    • Mathematical Reviews 81i:30035
    • Mathematical Reviews 81i:30035
  • 14
    • 51249168752 scopus 로고
    • Quadrilaterals and extremal quasiconformal extensions
    • Anderson J.M., and Hinkkanen A. Quadrilaterals and extremal quasiconformal extensions. Comment. Math. Helv. 70 (1995) 455-474
    • (1995) Comment. Math. Helv. , vol.70 , pp. 455-474
    • Anderson, J.M.1    Hinkkanen, A.2
  • 16
    • 0009969065 scopus 로고    scopus 로고
    • Planar quasiconformal mappings; Deformations and interactions
    • A Collection of Papers Honoring. Gehring F.W., Duren P., et al. (Eds), Springer
    • A Collection of Papers Honoring. Astala K. Planar quasiconformal mappings; Deformations and interactions. In: Gehring F.W., Duren P., et al. (Eds). Quasiconformal Mappings and Analysis (1998), Springer 33-54
    • (1998) Quasiconformal Mappings and Analysis , pp. 33-54
    • Astala, K.1
  • 20
    • 0008088548 scopus 로고
    • Conformal mappings with quasiconformal extensions
    • Brannan D.A., et al. (Ed), Academic Press
    • Becker J. Conformal mappings with quasiconformal extensions. In: Brannan D.A., et al. (Ed). Aspects of Contemporary Complex Analysis (1980), Academic Press 37-77
    • (1980) Aspects of Contemporary Complex Analysis , pp. 37-77
    • Becker, J.1
  • 22
    • 66049111339 scopus 로고
    • The use of a variational method in solving extremal problems of quasiconformal mappings
    • Belinskii P.P. The use of a variational method in solving extremal problems of quasiconformal mappings. Dokl. Akad. Nauk SSSR 121 (1958) 199-201
    • (1958) Dokl. Akad. Nauk SSSR , vol.121 , pp. 199-201
    • Belinskii, P.P.1
  • 23
    • 67649367767 scopus 로고    scopus 로고
    • Mathematical Reviews 24#A3285
    • Mathematical Reviews 24#A3285
  • 24
    • 51649167374 scopus 로고
    • Extremal quasiconformal mappings: necessary conditions
    • Belna C., and Ortel M. Extremal quasiconformal mappings: necessary conditions. J. Analyse Math. 33 (1978) 1-11
    • (1978) J. Analyse Math. , vol.33 , pp. 1-11
    • Belna, C.1    Ortel, M.2
  • 25
    • 67649348968 scopus 로고    scopus 로고
    • Mathematical Reviews 80c:30019
    • Mathematical Reviews 80c:30019
  • 26
    • 0001117067 scopus 로고
    • A non-standard integral equation with applications to quasiconformal mappings
    • Bers L. A non-standard integral equation with applications to quasiconformal mappings. Acta Math. 116 (1966) 113-134
    • (1966) Acta Math. , vol.116 , pp. 113-134
    • Bers, L.1
  • 27
    • 67649346412 scopus 로고    scopus 로고
    • Mathematical Reviews 33#273
    • Mathematical Reviews 33#273
  • 28
    • 0042220509 scopus 로고
    • Extremal quasiconformal mappings
    • Advances in the Theory of Riemann Surfaces. Ahlfors L., et al. (Ed), Princeton Univ. Press, Princeton
    • Bers L. Extremal quasiconformal mappings. In: Ahlfors L., et al. (Ed). Advances in the Theory of Riemann Surfaces. Ann. of Math. Studies Vol. 66 (1971), Princeton Univ. Press, Princeton 27-52
    • (1971) Ann. of Math. Studies , vol.66 , pp. 27-52
    • Bers, L.1
  • 29
    • 67649325414 scopus 로고    scopus 로고
    • Mathematical Reviews 44#2924
    • Mathematical Reviews 44#2924
  • 30
    • 51249180954 scopus 로고
    • A new proof of a fundamental inequality for quasiconformal mappings
    • Bers L. A new proof of a fundamental inequality for quasiconformal mappings. J. Analyse Math. 36 (1979) 15-30
    • (1979) J. Analyse Math. , vol.36 , pp. 15-30
    • Bers, L.1
  • 31
    • 67649338509 scopus 로고    scopus 로고
    • Mathematical Reviews 81i:30036
    • Mathematical Reviews 81i:30036
  • 32
    • 51649153268 scopus 로고
    • On Teichmüller's proof of Teichmüller's theorem
    • Bers L. On Teichmüller's proof of Teichmüller's theorem. J. Analyse Math. 46 (1986) 58-64
    • (1986) J. Analyse Math. , vol.46 , pp. 58-64
    • Bers, L.1
  • 34
    • 34250582717 scopus 로고
    • The boundary correspondence under quasiconformal mappings
    • Beurling A., and Ahlfors L. The boundary correspondence under quasiconformal mappings. Acta Math. 96 (1956) 125-142
    • (1956) Acta Math. , vol.96 , pp. 125-142
    • Beurling, A.1    Ahlfors, L.2
  • 38
    • 67649374429 scopus 로고
    • Some extremal problems for the class of mean-quasiconformal mappings
    • Biluta P.A. Some extremal problems for the class of mean-quasiconformal mappings. Dokl. Akad. Nauk SSSR 155 (1964) 503-505
    • (1964) Dokl. Akad. Nauk SSSR , vol.155 , pp. 503-505
    • Biluta, P.A.1
  • 39
    • 67649377156 scopus 로고    scopus 로고
    • Mathematical Reviews 29#244
    • Mathematical Reviews 29#244
  • 40
    • 51649178099 scopus 로고
    • Die Extremalität gewisser Teichmüllerscher Abbildungen des Einheitskreises
    • Blum E. Die Extremalität gewisser Teichmüllerscher Abbildungen des Einheitskreises. Comment. Math. Helv. 44 (1969) 319-340
    • (1969) Comment. Math. Helv. , vol.44 , pp. 319-340
    • Blum, E.1
  • 41
    • 29044449046 scopus 로고
    • Symbols for trace class Hankel operators with good estimates for norms
    • Bonsall F.F., and Walsh D. Symbols for trace class Hankel operators with good estimates for norms. Glasgow Math. J. 28 (1986) 47-54
    • (1986) Glasgow Math. J. , vol.28 , pp. 47-54
    • Bonsall, F.F.1    Walsh, D.2
  • 47
    • 0039804050 scopus 로고
    • Mergelyan's theorem on uniform polynomial approximation
    • Carleson L. Mergelyan's theorem on uniform polynomial approximation. Math. Scand. 15 (1964) 167-175
    • (1964) Math. Scand. , vol.15 , pp. 167-175
    • Carleson, L.1
  • 48
    • 67649338491 scopus 로고    scopus 로고
    • Mathematical Reviews 33#6368
    • Mathematical Reviews 33#6368
  • 49
    • 67649314596 scopus 로고
    • Quasiconformal homeomorphisms with prescribed boundary values and a dilatation bound
    • Chen J.X. Quasiconformal homeomorphisms with prescribed boundary values and a dilatation bound. Chinese Ann. Math. Ser. A 7 (1986) 465-473
    • (1986) Chinese Ann. Math. Ser. A , vol.7 , pp. 465-473
    • Chen, J.X.1
  • 51
    • 67649303847 scopus 로고
    • Quasiconformal deformations of plane domains
    • Chen J.X. Quasiconformal deformations of plane domains. J. Fudan Univ. Natur. Sci. 33 (1994) 57-66
    • (1994) J. Fudan Univ. Natur. Sci. , vol.33 , pp. 57-66
    • Chen, J.X.1
  • 53
    • 52549095699 scopus 로고
    • Extremalprobleme quasikonformer Abbildungen der Ebene als Steuerprobleme
    • Dittmar B. Extremalprobleme quasikonformer Abbildungen der Ebene als Steuerprobleme. Z. Anal. Anwendungen 5 (1986) 563-573
    • (1986) Z. Anal. Anwendungen , vol.5 , pp. 563-573
    • Dittmar, B.1
  • 55
    • 0002822579 scopus 로고
    • Conformally natural extensions of homeomorphisms of the circle
    • Douady A., and Earle C.J. Conformally natural extensions of homeomorphisms of the circle. Acta Math. 157 (1986) 23-48
    • (1986) Acta Math. , vol.157 , pp. 23-48
    • Douady, A.1    Earle, C.J.2
  • 60
    • 0346646813 scopus 로고    scopus 로고
    • Extremal quasiconformal mappings in plane domains
    • A Collection of Papers Honoring. Gehring F.W., Duren P., et al. (Eds), Springer
    • A Collection of Papers Honoring. Earle C.J., and Zhong L. Extremal quasiconformal mappings in plane domains. In: Gehring F.W., Duren P., et al. (Eds). Quasiconformal Mappings and Analysis (1998), Springer 141-157
    • (1998) Quasiconformal Mappings and Analysis , pp. 141-157
    • Earle, C.J.1    Zhong, L.2
  • 62
    • 51249180276 scopus 로고
    • Über extremale quasikonforme Abbildungen
    • Fehlmann R. Über extremale quasikonforme Abbildungen. Comment. Math. Helv. 56 (1981) 558-580
    • (1981) Comment. Math. Helv. , vol.56 , pp. 558-580
    • Fehlmann, R.1
  • 64
    • 0001442526 scopus 로고
    • Quasiconformal mappings with free boundary components
    • Fehlmann R. Quasiconformal mappings with free boundary components. Ann. Acad. Sci. Fenn. Ser. AI Math. 7 (1982) 337-347
    • (1982) Ann. Acad. Sci. Fenn. Ser. AI Math. , vol.7 , pp. 337-347
    • Fehlmann, R.1
  • 65
    • 67649370034 scopus 로고    scopus 로고
    • Mathematical Reviews 85c:30021
    • Mathematical Reviews 85c:30021
  • 66
    • 34250149382 scopus 로고
    • Extremal quasiconformal mappings with free boundary components in domains of arbitrary connectivity
    • Fehlmann R. Extremal quasiconformal mappings with free boundary components in domains of arbitrary connectivity. Math. Z. 184 (1983) 109-126
    • (1983) Math. Z. , vol.184 , pp. 109-126
    • Fehlmann, R.1
  • 67
    • 67649327927 scopus 로고    scopus 로고
    • Mathematical Reviews 85i:30042
    • Mathematical Reviews 85i:30042
  • 68
    • 51649163232 scopus 로고
    • On the local dilatation of quasisymmetric mappings and a theorem of Kurt Friedrichs
    • 1984
    • 1984. Fehlmann R. On the local dilatation of quasisymmetric mappings and a theorem of Kurt Friedrichs. J. Analyse Math. 43 (1983) 161-182
    • (1983) J. Analyse Math. , vol.43 , pp. 161-182
    • Fehlmann, R.1
  • 70
    • 1942448225 scopus 로고
    • On a fundamental variational lemma for extremal quasiconformal mappings
    • Fehlmann R. On a fundamental variational lemma for extremal quasiconformal mappings. Comment. Math. Helv. 61 (1986) 565-580
    • (1986) Comment. Math. Helv. , vol.61 , pp. 565-580
    • Fehlmann, R.1
  • 72
    • 84968518935 scopus 로고
    • A remark on angular complex dilatations of quasiconformal mappings
    • Fehlmann R. A remark on angular complex dilatations of quasiconformal mappings. Proc. Amer. Math. Soc. 104 (1988) 1071-1077
    • (1988) Proc. Amer. Math. Soc. , vol.104 , pp. 1071-1077
    • Fehlmann, R.1
  • 74
    • 67649370033 scopus 로고
    • On the set of substantial boundary points for extremal quasiconformal mappings
    • Fehlmann R., and Sakan K.-i. On the set of substantial boundary points for extremal quasiconformal mappings. Complex Variables Theory Appl. 6 (1986) 323-335
    • (1986) Complex Variables Theory Appl. , vol.6 , pp. 323-335
    • Fehlmann, R.1    Sakan, K.-i.2
  • 76
    • 84972575299 scopus 로고
    • On extremal quasiconformal mappings with varying dilatation bounds
    • Fehlmann R., and Sakan K.-i. On extremal quasiconformal mappings with varying dilatation bounds. Osaka J. Math. 23 (1986) 751-764
    • (1986) Osaka J. Math. , vol.23 , pp. 751-764
    • Fehlmann, R.1    Sakan, K.-i.2
  • 78
    • 0000466666 scopus 로고
    • Projections on spaces of holomorphic functions in balls
    • Forelli F., and Rudin W. Projections on spaces of holomorphic functions in balls. Indiana Univ. Math. J. 24 (1974) 593-602
    • (1974) Indiana Univ. Math. J. , vol.24 , pp. 593-602
    • Forelli, F.1    Rudin, W.2
  • 79
    • 67649348966 scopus 로고    scopus 로고
    • Mathematical Reviews 50#10332
    • Mathematical Reviews 50#10332
  • 82
    • 67649325410 scopus 로고    scopus 로고
    • Substantial boundary points of plane domains
    • Oct.
    • Oct. Gardiner F.P., and Lakic N. Substantial boundary points of plane domains. Preliminary Notes (1997)
    • (1997) Preliminary Notes
    • Gardiner, F.P.1    Lakic, N.2
  • 85
    • 0000454356 scopus 로고
    • Symmetric structures on a closed curve
    • Gardiner F.P., and Sullivan D. Symmetric structures on a closed curve. Amer. J. Math. 114 (1992) 683-736
    • (1992) Amer. J. Math. , vol.114 , pp. 683-736
    • Gardiner, F.P.1    Sullivan, D.2
  • 87
    • 0242630351 scopus 로고
    • Quasiconformal mappings which hold the real axis pointwise fixed
    • Ohio Univ. Press, Athens, OH
    • Gehring F.W. Quasiconformal mappings which hold the real axis pointwise fixed. Mathematical Essays Dedicated to A.J. Macintyre (1970), Ohio Univ. Press, Athens, OH 145-148
    • (1970) Mathematical Essays Dedicated to A.J. Macintyre , pp. 145-148
    • Gehring, F.W.1
  • 88
    • 67649309217 scopus 로고    scopus 로고
    • Mathematical Reviews 42#7888
    • Mathematical Reviews 42#7888
  • 90
    • 67649338507 scopus 로고    scopus 로고
    • Mathematical Reviews 34#1517
    • Mathematical Reviews 34#1517
  • 94
    • 0005220555 scopus 로고
    • Über möglichst konforme Abbildungen von schlichten Bereichen
    • Grötzsch H. Über möglichst konforme Abbildungen von schlichten Bereichen. Ber. Sächs. Akad. Wiss. Leipzig 84 (1932) 114-120
    • (1932) Ber. Sächs. Akad. Wiss. Leipzig , vol.84 , pp. 114-120
    • Grötzsch, H.1
  • 95
    • 67649327933 scopus 로고    scopus 로고
    • Jahrbuch über die Fortschritte der Mathematik 58, 1093
    • Jahrbuch über die Fortschritte der Mathematik 58, 1093
  • 96
    • 0000922653 scopus 로고
    • Extremal quasiconformal mappings with prescribed boundary values
    • Hamilton R.S. Extremal quasiconformal mappings with prescribed boundary values. Trans. Amer. Math. Soc. 138 (1969) 399-406
    • (1969) Trans. Amer. Math. Soc. , vol.138 , pp. 399-406
    • Hamilton, R.S.1
  • 97
    • 67649338506 scopus 로고    scopus 로고
    • Mathematical Reviews 39#7093
    • Mathematical Reviews 39#7093
  • 99
    • 67649357676 scopus 로고    scopus 로고
    • Mathematical Reviews 53#13580
    • Mathematical Reviews 53#13580
  • 100
    • 84972549280 scopus 로고
    • The dilatation of an extremal quasiconformal mapping
    • Harrington A., and Ortel M. The dilatation of an extremal quasiconformal mapping. Duke Math. J. 43 (1976) 533-544
    • (1976) Duke Math. J. , vol.43 , pp. 533-544
    • Harrington, A.1    Ortel, M.2
  • 101
    • 67649350386 scopus 로고    scopus 로고
    • Mathematical Reviews 54#13074
    • Mathematical Reviews 54#13074
  • 104
    • 27644542514 scopus 로고
    • A parametric representation of quasiconformal extensions
    • Kexue Tongbao (English edition), Chinese Academy of Science
    • Kexue Tongbao (English edition), Chinese Academy of Science. He C.Q. A parametric representation of quasiconformal extensions. Science Bulletin 25 (1980) 721-724
    • (1980) Science Bulletin , vol.25 , pp. 721-724
    • He, C.Q.1
  • 105
    • 67649370043 scopus 로고    scopus 로고
    • Mathematical Reviews 84c:30036
    • Mathematical Reviews 84c:30036
  • 106
    • 41349093042 scopus 로고
    • Quasiconformal mappings
    • Analytic Functions of One Complex Variable, Amer. Math. Soc., Providence, RI
    • He C.Q., and Li Z. Quasiconformal mappings. Analytic Functions of One Complex Variable. Contemp. Math. Vol. 48 (1985), Amer. Math. Soc., Providence, RI 129-150
    • (1985) Contemp. Math. , vol.48 , pp. 129-150
    • He, C.Q.1    Li, Z.2
  • 108
    • 67649367759 scopus 로고    scopus 로고
    • T.-h. Hsia (See D. Xia [178]).
    • T.-h. Hsia (See D. Xia [178]).
  • 109
    • 2142777076 scopus 로고
    • On the extremality of Teichmüller mappings
    • Huang X. On the extremality of Teichmüller mappings. J. Math. Kyoto University 35 (1995) 115-132
    • (1995) J. Math. Kyoto University , vol.35 , pp. 115-132
    • Huang, X.1
  • 111
  • 113
    • 67649309210 scopus 로고
    • On the contraction of the Teichmüller metrics
    • Huang X., and Masahiko T. On the contraction of the Teichmüller metrics. J. Math. Kyoto Univ. 35 (1995) 133-142
    • (1995) J. Math. Kyoto Univ. , vol.35 , pp. 133-142
    • Huang, X.1    Masahiko, T.2
  • 115
    • 0000097986 scopus 로고
    • On the existence of certain general extremal metrics
    • Jenkins J.A. On the existence of certain general extremal metrics. Ann. of Math. 66 (1957) 440-453
    • (1957) Ann. of Math. , vol.66 , pp. 440-453
    • Jenkins, J.A.1
  • 117
    • 48049088889 scopus 로고
    • Quadratic differentials
    • Chapter 8. Pommerenke Ch. (Ed), Vandenhoeck & Ruprecht, Göttingen
    • Chapter 8. Jensen G. Quadratic differentials. In: Pommerenke Ch. (Ed). Univalent Functions (1975), Vandenhoeck & Ruprecht, Göttingen 205-260
    • (1975) Univalent Functions , pp. 205-260
    • Jensen, G.1
  • 118
    • 67649350388 scopus 로고    scopus 로고
    • Mathematical Reviews 58#22526
    • Mathematical Reviews 58#22526
  • 120
  • 122
    • 0001023978 scopus 로고
    • Extremal quasiconformal mappings
    • Krushkal' S.L. Extremal quasiconformal mappings. Sibirsk. Mat. Zh. 10 (1969) 573-583
    • (1969) Sibirsk. Mat. Zh. , vol.10 , pp. 573-583
    • Krushkal', S.L.1
  • 123
    • 0001023978 scopus 로고
    • Extremal quasiconformal mappings
    • English transl.:
    • English transl.:. Krushkal' S.L. Extremal quasiconformal mappings. Siberian Math. J. 10 (1969) 411-418
    • (1969) Siberian Math. J. , vol.10 , pp. 411-418
    • Krushkal', S.L.1
  • 124
    • 67649325406 scopus 로고    scopus 로고
    • Mathematical Reviews 39#2972
    • Mathematical Reviews 39#2972
  • 125
    • 67649338502 scopus 로고
    • On Grunsky's coefficient conditions
    • Krushkal' S.L. On Grunsky's coefficient conditions. Sibirsk. Mat. Zh. 28 (1987) 138-145
    • (1987) Sibirsk. Mat. Zh. , vol.28 , pp. 138-145
    • Krushkal', S.L.1
  • 126
    • 67649338502 scopus 로고
    • On Grunsky's coefficient conditions
    • (Russian)
    • (Russian). Krushkal' S.L. On Grunsky's coefficient conditions. Sibirsk. Mat. Zh. 28 (1987) 226
    • (1987) Sibirsk. Mat. Zh. , vol.28 , pp. 226
    • Krushkal', S.L.1
  • 128
    • 51249179229 scopus 로고
    • Grunsky coefficient inequalities, Carathéodory metric and extremal quasiconformal mappings
    • Krushkal' S.L. Grunsky coefficient inequalities, Carathéodory metric and extremal quasiconformal mappings. Comment. Math. Helv. 64 (1989) 650-660
    • (1989) Comment. Math. Helv. , vol.64 , pp. 650-660
    • Krushkal', S.L.1
  • 130
    • 66049116494 scopus 로고
    • New developments in the theory of quasi-conformal mappings
    • (Halle, 1988). Geometric Function Theory and Applications of Complex Analysis to Mechanics, Longman Sci. Tech., Harlow
    • (Halle, 1988). Krushkal' S.L. New developments in the theory of quasi-conformal mappings. Geometric Function Theory and Applications of Complex Analysis to Mechanics. Pitman Res. Notes Math. Ser. Vol. 257 (1991), Longman Sci. Tech., Harlow 3-26
    • (1991) Pitman Res. Notes Math. Ser. , vol.257 , pp. 3-26
    • Krushkal', S.L.1
  • 132
    • 0038871287 scopus 로고    scopus 로고
    • A quasiconformal dynamic property of the disk
    • Krushkal S.L., and Kühnau R. A quasiconformal dynamic property of the disk. J. Analyse Math. 72 (1997) 93-103
    • (1997) J. Analyse Math. , vol.72 , pp. 93-103
    • Krushkal, S.L.1    Kühnau, R.2
  • 134
    • 34250503386 scopus 로고
    • Einige Extremalprobleme bei differentialgeometrischen und quasikonformen Abbildungen
    • Kühnau R. Einige Extremalprobleme bei differentialgeometrischen und quasikonformen Abbildungen. Math. Z. 94 (1966) 178-182
    • (1966) Math. Z. , vol.94 , pp. 178-182
    • Kühnau, R.1
  • 135
    • 67649338505 scopus 로고    scopus 로고
    • Mathematical Reviews 35#365
    • Mathematical Reviews 35#365
  • 136
    • 84981440823 scopus 로고
    • Zur analytischen Darstellung gewisser Extremalfunktionen der quasikonformen Abbildung
    • Kühnau R. Zur analytischen Darstellung gewisser Extremalfunktionen der quasikonformen Abbildung. Math. Nachr. 60 (1974) 53-62
    • (1974) Math. Nachr. , vol.60 , pp. 53-62
    • Kühnau, R.1
  • 138
    • 84985309827 scopus 로고
    • Zur analytischen Darstellung gewisser Extremalfunktionen der quasikonformen Abbildung II
    • Kühnau R. Zur analytischen Darstellung gewisser Extremalfunktionen der quasikonformen Abbildung II. Math. Nachr. 92 (1979) 139-143
    • (1979) Math. Nachr. , vol.92 , pp. 139-143
    • Kühnau, R.1
  • 140
    • 66049129079 scopus 로고
    • Über Extremalprobleme bei im Mittel quasikonformen Abbildungen
    • Complex Analysis - Fifth Romanian-Finnish Seminar, Part I. Bucharest, 1981, Springer
    • Kühnau R. Über Extremalprobleme bei im Mittel quasikonformen Abbildungen. Complex Analysis - Fifth Romanian-Finnish Seminar, Part I. Bucharest, 1981. Lecture Notes in Math. Vol. 1013 (1983), Springer 113-124
    • (1983) Lecture Notes in Math. , vol.1013 , pp. 113-124
    • Kühnau, R.1
  • 141
    • 67649370042 scopus 로고    scopus 로고
    • Mathematical Reviews 87i:30034
    • Mathematical Reviews 87i:30034
  • 142
    • 67649355392 scopus 로고
    • Bemerkungen zu Extremalproblemen bei in einem speziellen Mittel quasikonformen Abbildungen
    • Complex Analysis - Fifth Romanian-Finnish Seminar, Part I. Bucharest, 1981, Springer
    • Kühnau R. Bemerkungen zu Extremalproblemen bei in einem speziellen Mittel quasikonformen Abbildungen. Complex Analysis - Fifth Romanian-Finnish Seminar, Part I. Bucharest, 1981. Lecture Notes in Math. Vol. 1013 (1983), Springer 125-131
    • (1983) Lecture Notes in Math. , vol.1013 , pp. 125-131
    • Kühnau, R.1
  • 143
    • 67649348965 scopus 로고    scopus 로고
    • Mathematical Reviews 87i:30035
    • Mathematical Reviews 87i:30035
  • 144
    • 0002061818 scopus 로고
    • Wann sind die Grunskyschen Koeffizientenbedingungen hinreichend für Q-quasikonforme Fortsetzbarkeit?
    • Kühnau R. Wann sind die Grunskyschen Koeffizientenbedingungen hinreichend für Q-quasikonforme Fortsetzbarkeit?. Comment. Math. Helv. 61 (1986) 290-307
    • (1986) Comment. Math. Helv. , vol.61 , pp. 290-307
    • Kühnau, R.1
  • 146
    • 67649355389 scopus 로고
    • Ein Algorithmus für quasikonforme Spiegelung an einem Polygonzug bei möglichst kleiner Dilatation
    • Kühnau R. Ein Algorithmus für quasikonforme Spiegelung an einem Polygonzug bei möglichst kleiner Dilatation. Mitt. Math. Seminar Giessen 180 (1987) 1-34
    • (1987) Mitt. Math. Seminar Giessen , vol.180 , pp. 1-34
    • Kühnau, R.1
  • 148
    • 0002231632 scopus 로고
    • Möglichst konforme Spiegelung an einer Jordankurve
    • Kühnau R. Möglichst konforme Spiegelung an einer Jordankurve. Jahresber. Deutsch. Math.-Verein. 90 (1988) 90-109
    • (1988) Jahresber. Deutsch. Math.-Verein. , vol.90 , pp. 90-109
    • Kühnau, R.1
  • 150
    • 27544455056 scopus 로고
    • Möglichst konforme Spiegelung an einem Jordanbogen auf der Zahlenkugel
    • Birkhäuser
    • Kühnau R. Möglichst konforme Spiegelung an einem Jordanbogen auf der Zahlenkugel. Complex Analysis (1988), Birkhäuser 139-156
    • (1988) Complex Analysis , pp. 139-156
    • Kühnau, R.1
  • 154
    • 0030443853 scopus 로고    scopus 로고
    • Zur quasikonformen Spiegelung
    • Kühnau R. Zur quasikonformen Spiegelung. Ann. Acad. Sci. Fenn. Math. 21 (1996) 101-109
    • (1996) Ann. Acad. Sci. Fenn. Math. , vol.21 , pp. 101-109
    • Kühnau, R.1
  • 156
    • 4243900559 scopus 로고    scopus 로고
    • Herbert Grötzsch zum Gedächtnis
    • Kühnau R. Herbert Grötzsch zum Gedächtnis. Jahresb. Deutsch. Math.-Verein 99 (1997) 122-145
    • (1997) Jahresb. Deutsch. Math.-Verein , vol.99 , pp. 122-145
    • Kühnau, R.1
  • 158
    • 66049126502 scopus 로고    scopus 로고
    • Ersetzungssätze bei quasikonformen Abbildungen
    • Kühnau R. Ersetzungssätze bei quasikonformen Abbildungen. Ann. Univ. Mariae Curie-Skłodowska 52 (1998) 65-72
    • (1998) Ann. Univ. Mariae Curie-Skłodowska , vol.52 , pp. 65-72
    • Kühnau, R.1
  • 160
    • 0034362985 scopus 로고    scopus 로고
    • Drei Funktionale eines Quasikreises
    • Kühnau R. Drei Funktionale eines Quasikreises. Ann. Acad. Sci. Fenn. AI 25 (2000) 413-415
    • (2000) Ann. Acad. Sci. Fenn. AI , vol.25 , pp. 413-415
    • Kühnau, R.1
  • 162
    • 0010301038 scopus 로고
    • Remarks on the maximal dilatation of the Beurling-Ahlfors extension
    • Lehtinen M. Remarks on the maximal dilatation of the Beurling-Ahlfors extension. Ann. Acad. Sci. Fenn. AI 9 (1984) 133-139
    • (1984) Ann. Acad. Sci. Fenn. AI , vol.9 , pp. 133-139
    • Lehtinen, M.1
  • 164
    • 67649377162 scopus 로고
    • On extremal quasiconformal mappings in the presence of a dilatation bound
    • Lehtinen M. On extremal quasiconformal mappings in the presence of a dilatation bound. Rev. Roumaine Math. Pures Appl. 32 (1987) 915-922
    • (1987) Rev. Roumaine Math. Pures Appl. , vol.32 , pp. 915-922
    • Lehtinen, M.1
  • 166
    • 0003258868 scopus 로고
    • Univalent Functions and Teichmüller Spaces
    • Springer
    • Lehto O. Univalent Functions and Teichmüller Spaces. Graduate Texts in Mathematics Vol. 109 (1987), Springer
    • (1987) Graduate Texts in Mathematics , vol.109
    • Lehto, O.1
  • 169
    • 67649325409 scopus 로고    scopus 로고
    • Mathematical Reviews 49#9202
    • Mathematical Reviews 49#9202
  • 170
    • 67649355393 scopus 로고
    • Extremality of Teichmüller mappings
    • Li W., and Liu Y. Extremality of Teichmüller mappings. Beijing Daxue Xuebao 5 (1987) 42-51
    • (1987) Beijing Daxue Xuebao , vol.5 , pp. 42-51
    • Li, W.1    Liu, Y.2
  • 171
    • 67649333936 scopus 로고    scopus 로고
    • Mathematical Reviews 89i:30026
    • Mathematical Reviews 89i:30026
  • 172
    • 51249186879 scopus 로고
    • On the existence of extremal Teichmüller mappings
    • Li Z. On the existence of extremal Teichmüller mappings. Comment. Math. Helv. 57 (1982) 511-517
    • (1982) Comment. Math. Helv. , vol.57 , pp. 511-517
    • Li, Z.1
  • 174
    • 67649348962 scopus 로고
    • On the existence of extremal Teichmüller mappings II
    • Li Z. On the existence of extremal Teichmüller mappings II. Beijing Daxue Xuebao 6 (1982) 1-10
    • (1982) Beijing Daxue Xuebao , vol.6 , pp. 1-10
    • Li, Z.1
  • 176
    • 0037985251 scopus 로고    scopus 로고
    • On the boundary value problem for harmonic maps of the Poincaré disc
    • Li Z. On the boundary value problem for harmonic maps of the Poincaré disc. Chinese Science Bulletin (Kexue tongbao) 42 (1997) 2025-2045
    • (1997) Chinese Science Bulletin (Kexue tongbao) , vol.42 , pp. 2025-2045
    • Li, Z.1
  • 178
    • 0000088291 scopus 로고    scopus 로고
    • The unique extremal QC mapping and uniqueness of Hahn-Banach extensions
    • Marković V., and Mateljević M. The unique extremal QC mapping and uniqueness of Hahn-Banach extensions. Mat. Vesnik 48 (1996) 107-112
    • (1996) Mat. Vesnik , vol.48 , pp. 107-112
    • Marković, V.1    Mateljević, M.2
  • 179
    • 67649317736 scopus 로고    scopus 로고
    • Mathematical Reviews 2000c:46044
    • Mathematical Reviews 2000c:46044
  • 180
    • 0002609772 scopus 로고    scopus 로고
    • New versions of Grötzsch principle and Reich-Strebel inequality
    • Fourth Symposium on Mathematical Analysis and its Applications. Arandjelovac, 1997
    • Marković V., and Mateljević M. New versions of Grötzsch principle and Reich-Strebel inequality. Fourth Symposium on Mathematical Analysis and its Applications. Arandjelovac, 1997. Mat. Vesnik 49 (1997) 235-239
    • (1997) Mat. Vesnik , vol.49 , pp. 235-239
    • Marković, V.1    Mateljević, M.2
  • 181
    • 85058498225 scopus 로고    scopus 로고
    • Area distortion of quasiconformal mappings, Featured Review
    • G.J. Martin, Astala, Kari, Area distortion of quasiconformal mappings, Featured Review, Mathematical Reviews, 95m:30028b.
    • Mathematical Reviews , vol.95 m
    • Martin, G.J.1    Astala, K.2
  • 182
    • 0040800266 scopus 로고
    • On harmonic quasiconformal mappings
    • Martio O. On harmonic quasiconformal mappings. Ann. Acad. Sci. Fenn. Ser. A 425 (1968) 1-10
    • (1968) Ann. Acad. Sci. Fenn. Ser. A , vol.425 , pp. 1-10
    • Martio, O.1
  • 183
    • 67649309213 scopus 로고    scopus 로고
    • Mathematical Reviews 38#4678
    • Mathematical Reviews 38#4678
  • 184
    • 0001691124 scopus 로고
    • On the solution of quasi-linear elliptic partial differential equation
    • Morrey C.B. On the solution of quasi-linear elliptic partial differential equation. Trans. Amer. Math. Soc. 43 (1938) 126-166
    • (1938) Trans. Amer. Math. Soc. , vol.43 , pp. 126-166
    • Morrey, C.B.1
  • 185
    • 67649374428 scopus 로고    scopus 로고
    • Jahrbuch über die Fortschritte der Mathematik 64, 460-461
    • Jahrbuch über die Fortschritte der Mathematik 64, 460-461
  • 186
    • 67649333934 scopus 로고
    • Integral means and the theorem of Hamilton, Reich and Strebel
    • Complex Analysis, Joensuu 1978, Springer
    • Ortel M. Integral means and the theorem of Hamilton, Reich and Strebel. Complex Analysis, Joensuu 1978. Lecture Notes in Math. Vol. 747 (1979), Springer
    • (1979) Lecture Notes in Math. , vol.747
    • Ortel, M.1
  • 188
    • 84972517859 scopus 로고
    • The support of an extremal dilatation
    • Ortel M. The support of an extremal dilatation. Pacific J. Math. 99 (1982) 431-438
    • (1982) Pacific J. Math. , vol.99 , pp. 431-438
    • Ortel, M.1
  • 190
    • 84968465128 scopus 로고
    • Extremal quasiconformal mappings with angular complex dilatation
    • Ortel M. Extremal quasiconformal mappings with angular complex dilatation. Indiana Univ. Math. J. 31 (1982) 435-447
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 435-447
    • Ortel, M.1
  • 192
    • 84968503859 scopus 로고
    • The argument of an extremal dilatation
    • Ortel M., and Smith W. The argument of an extremal dilatation. Proc. Amer. Math. Soc. 104 (1988) 498-502
    • (1988) Proc. Amer. Math. Soc. , vol.104 , pp. 498-502
    • Ortel, M.1    Smith, W.2
  • 194
    • 0040084688 scopus 로고    scopus 로고
    • Variational problem of some quadratic functionals in complex analysis
    • Rassias T.M., and Shibata K. Variational problem of some quadratic functionals in complex analysis. J. Math. Anal. Appl. 228 (1998) 234-253
    • (1998) J. Math. Anal. Appl. , vol.228 , pp. 234-253
    • Rassias, T.M.1    Shibata, K.2
  • 196
    • 67649333931 scopus 로고
    • Sharpened distortion theorems for quasiconformal mappings
    • Reich E. Sharpened distortion theorems for quasiconformal mappings. Notices Amer. Math. Soc. 10 1 (1963) 26
    • (1963) Notices Amer. Math. Soc. , vol.10 , Issue.1 , pp. 26
    • Reich, E.1
  • 197
    • 67649333931 scopus 로고
    • Sharpened distortion theorems for quasiconformal mappings
    • Reich E. Sharpened distortion theorems for quasiconformal mappings. Notices Amer. Math. Soc. 10 1 (1963) 81
    • (1963) Notices Amer. Math. Soc. , vol.10 , Issue.1 , pp. 81
    • Reich, E.1
  • 198
    • 67649314592 scopus 로고
    • On extremality and unique extremality of affine mappings
    • Topics in Analysis, Jyväskylä 1970, Springer
    • Reich E. On extremality and unique extremality of affine mappings. Topics in Analysis, Jyväskylä 1970. Lecture Notes in Math. Vol. 419 (1974), Springer 294-304
    • (1974) Lecture Notes in Math. , vol.419 , pp. 294-304
    • Reich, E.1
  • 199
    • 67649314594 scopus 로고    scopus 로고
    • Mathematical Reviews 52#744
    • Mathematical Reviews 52#744
  • 201
    • 67649301530 scopus 로고    scopus 로고
    • Mathematical Reviews 46#2049
    • Mathematical Reviews 46#2049
  • 202
    • 3042886612 scopus 로고
    • On the relation between local and global properties of boundary values for extremal quasiconformal mappings
    • Univ. of Maryland, 1973. Discontinuous Groups and Riemann Surfaces, Princeton Univ. Press, Princeton
    • Univ. of Maryland, 1973. Reich E. On the relation between local and global properties of boundary values for extremal quasiconformal mappings. Discontinuous Groups and Riemann Surfaces. Ann. of Math. Studies Vol. 79 (1974), Princeton Univ. Press, Princeton 391-407
    • (1974) Ann. of Math. Studies , vol.79 , pp. 391-407
    • Reich, E.1
  • 203
    • 67649309214 scopus 로고    scopus 로고
    • Mathematical Reviews 50#13512
    • Mathematical Reviews 50#13512
  • 204
    • 0001368182 scopus 로고
    • Quasiconformal mappings of the disk with given boundary values
    • Advances in Complex Function Theory, Univ. Maryland, Springer
    • Reich E. Quasiconformal mappings of the disk with given boundary values. Advances in Complex Function Theory, Univ. Maryland. Lecture Notes in Math. Vol. 505 (1976), Springer 101-137
    • (1976) Lecture Notes in Math. , vol.505 , pp. 101-137
    • Reich, E.1
  • 205
    • 67649346406 scopus 로고    scopus 로고
    • Mathematical Reviews 54#7776
    • Mathematical Reviews 54#7776
  • 206
    • 0011654944 scopus 로고
    • An extremum problem for analytic functions with area norm
    • Reich E. An extremum problem for analytic functions with area norm. Ann. Acad. Sci. Fenn. AI Math. 2 (1976) 429-445
    • (1976) Ann. Acad. Sci. Fenn. AI Math. , vol.2 , pp. 429-445
    • Reich, E.1
  • 207
    • 67649374427 scopus 로고    scopus 로고
    • Mathematical Reviews 58#17102
    • Mathematical Reviews 58#17102
  • 208
    • 51249187280 scopus 로고
    • A generalized Dirichlet integral
    • Reich E. A generalized Dirichlet integral. J. Analyse Math. 30 (1976) 456-463
    • (1976) J. Analyse Math. , vol.30 , pp. 456-463
    • Reich, E.1
  • 209
    • 67649346408 scopus 로고    scopus 로고
    • Mathematical Reviews 56#611
    • Mathematical Reviews 56#611
  • 210
    • 51649160674 scopus 로고
    • On extremal quasiconformal extensions of conformal mappings
    • Reich E. On extremal quasiconformal extensions of conformal mappings. Israel J. Math. 28 (1977) 91-97
    • (1977) Israel J. Math. , vol.28 , pp. 91-97
    • Reich, E.1
  • 211
    • 67649301529 scopus 로고    scopus 로고
    • Mathematical Reviews 57#625
    • Mathematical Reviews 57#625
  • 212
    • 0018060223 scopus 로고
    • Quasiconformal mappings with prescribed boundary values and a dilatation bound
    • Reich E. Quasiconformal mappings with prescribed boundary values and a dilatation bound. Arch. Rat. Mech. Anal. 68 (1978) 99-112
    • (1978) Arch. Rat. Mech. Anal. , vol.68 , pp. 99-112
    • Reich, E.1
  • 213
    • 67649374424 scopus 로고    scopus 로고
    • Mathematical Reviews 58#17082
    • Mathematical Reviews 58#17082
  • 214
    • 67649338499 scopus 로고
    • On the uniqueness problem for extremal quasiconformal mappings with prescribed boundary values
    • Proc. Colloq. Complex Anal. Joensuu 1978, Springer
    • Reich E. On the uniqueness problem for extremal quasiconformal mappings with prescribed boundary values. Proc. Colloq. Complex Anal. Joensuu 1978. Lecture Notes in Mathematics Vol. 747 (1979), Springer 314-320
    • (1979) Lecture Notes in Mathematics , vol.747 , pp. 314-320
    • Reich, E.1
  • 215
    • 67649303857 scopus 로고    scopus 로고
    • Mathematical Reviews 81c:30039
    • Mathematical Reviews 81c:30039
  • 216
    • 0001790372 scopus 로고
    • Uniqueness of Hahn-Banach extensions from certain spaces of analytic functions
    • Reich E. Uniqueness of Hahn-Banach extensions from certain spaces of analytic functions. Math. Z. 167 (1979) 81-89
    • (1979) Math. Z. , vol.167 , pp. 81-89
    • Reich, E.1
  • 218
    • 0038966719 scopus 로고
    • A criterion for unique extremality of Teichmüller mappings
    • Reich E. A criterion for unique extremality of Teichmüller mappings. Indiana Univ. Math. J. 30 (1981) 441-447
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 441-447
    • Reich, E.1
  • 220
    • 0000293238 scopus 로고
    • On criteria for unique extremality of Teichmüller mappings
    • Reich E. On criteria for unique extremality of Teichmüller mappings. Ann. Acad. Sci. Fenn. AI Math. 6 (1981) 289-301
    • (1981) Ann. Acad. Sci. Fenn. AI Math. , vol.6 , pp. 289-301
    • Reich, E.1
  • 222
  • 224
    • 0010112658 scopus 로고
    • Nonuniqueness of Teichmüller extremal mappings
    • Reich E. Nonuniqueness of Teichmüller extremal mappings. Proc. Amer. Math. Soc. 88 (1983) 513-516
    • (1983) Proc. Amer. Math. Soc. , vol.88 , pp. 513-516
    • Reich, E.1
  • 226
    • 0000938666 scopus 로고
    • On the variational principle of Gerstenhaber and Rauch
    • Reich E. On the variational principle of Gerstenhaber and Rauch. Ann. Acad. Sci. Fenn. AI Math. 10 (1985) 469-475
    • (1985) Ann. Acad. Sci. Fenn. AI Math. , vol.10 , pp. 469-475
    • Reich, E.1
  • 228
    • 0010167546 scopus 로고
    • On the structure of the family of extremal quasiconformal mappings of parabolic regions
    • Reich E. On the structure of the family of extremal quasiconformal mappings of parabolic regions. Complex Variables Theory Appl. 5 (1986) 289-300
    • (1986) Complex Variables Theory Appl. , vol.5 , pp. 289-300
    • Reich, E.1
  • 229
    • 67649330202 scopus 로고    scopus 로고
    • Mathematical Reviews 87i:30038
    • Mathematical Reviews 87i:30038
  • 230
    • 51249172296 scopus 로고
    • Harmonic mappings and quasiconformal mappings
    • Reich E. Harmonic mappings and quasiconformal mappings. J. Analyse Math. 46 (1986) 239-245
    • (1986) J. Analyse Math. , vol.46 , pp. 239-245
    • Reich, E.1
  • 234
    • 84966255313 scopus 로고
    • Construction of Hamilton sequences for certain Teichmüller mappings
    • Reich E. Construction of Hamilton sequences for certain Teichmüller mappings. Proc. Amer. Math. Soc. 103 (1988) 789-796
    • (1988) Proc. Amer. Math. Soc. , vol.103 , pp. 789-796
    • Reich, E.1
  • 237
    • 51249179258 scopus 로고
    • A quasiconformal extension using the parametric representation
    • Reich E. A quasiconformal extension using the parametric representation. J. Analyse Math. 54 (1990) 246-258
    • (1990) J. Analyse Math. , vol.54 , pp. 246-258
    • Reich, E.1
  • 238
    • 67649370036 scopus 로고    scopus 로고
    • Mathematical Reviews 91c:30035
    • Mathematical Reviews 91c:30035
  • 239
    • 67649338498 scopus 로고
    • On some related extremal problems
    • Reich E. On some related extremal problems. Rev. Roum. Math. Pures Appl. 39 (1994) 613-626
    • (1994) Rev. Roum. Math. Pures Appl. , vol.39 , pp. 613-626
    • Reich, E.1
  • 241
    • 0002198243 scopus 로고
    • A theorem of Fehlmann-type for extensions with bounded 6-derivative
    • Reich E. A theorem of Fehlmann-type for extensions with bounded 6-derivative. Complex Variables Theory. Appl. 26 (1995) 343-351
    • (1995) Complex Variables Theory. Appl. , vol.26 , pp. 343-351
    • Reich, E.1
  • 243
    • 67649330198 scopus 로고    scopus 로고
    • On least non-analytic extensions
    • Reich E. On least non-analytic extensions. Mitt. Math. Sem. Giessen 229 (1997) 1-10
    • (1997) Mitt. Math. Sem. Giessen , vol.229 , pp. 1-10
    • Reich, E.1
  • 244
    • 67649333932 scopus 로고    scopus 로고
    • Mathematical Reviews 98c:30029
    • Mathematical Reviews 98c:30029
  • 245
    • 21744450687 scopus 로고    scopus 로고
    • An approximation condition and extremal quasiconformal extensions
    • Reich E. An approximation condition and extremal quasiconformal extensions. Proc. Amer. Math. Soc. 125 (1997) 1479-1481
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 1479-1481
    • Reich, E.1
  • 247
    • 1942544400 scopus 로고    scopus 로고
    • Extremal extensions from the circle to the disk
    • A Collection of Papers Honoring. Gehring F.W., Duren P., et al. (Eds), Springer
    • A Collection of Papers Honoring. Reich E. Extremal extensions from the circle to the disk. In: Gehring F.W., Duren P., et al. (Eds). Quasiconformal Mappings and Analysis (1998), Springer 321-335
    • (1998) Quasiconformal Mappings and Analysis , pp. 321-335
    • Reich, E.1
  • 248
    • 67649303856 scopus 로고    scopus 로고
    • Mathematical Reviews 99c:30041
    • Mathematical Reviews 99c:30041
  • 249
    • 0003157161 scopus 로고    scopus 로고
    • The unique extremality counterexample
    • Reich E. The unique extremality counterexample. J. Analyse. Math. 75 (1998) 339-347
    • (1998) J. Analyse. Math. , vol.75 , pp. 339-347
    • Reich, E.1
  • 253
    • 0001901346 scopus 로고
    • On quasiconformal mappings which keep the boundary points fixed
    • Reich E., and Strebel K. On quasiconformal mappings which keep the boundary points fixed. Trans. Amer. Math. Soc. 138 (1969) 211-222
    • (1969) Trans. Amer. Math. Soc. , vol.138 , pp. 211-222
    • Reich, E.1    Strebel, K.2
  • 254
    • 67649346407 scopus 로고    scopus 로고
    • Mathematical Reviews 38#6059
    • Mathematical Reviews 38#6059
  • 255
    • 51249188283 scopus 로고
    • On the extremality of certain Teichmüller mappings
    • Reich E., and Strebel K. On the extremality of certain Teichmüller mappings. Comment. Math. Helv. 45 (1970) 353-362
    • (1970) Comment. Math. Helv. , vol.45 , pp. 353-362
    • Reich, E.1    Strebel, K.2
  • 256
    • 67649346405 scopus 로고    scopus 로고
    • Mathematical Reviews 43#514
    • Mathematical Reviews 43#514
  • 257
    • 67649314591 scopus 로고
    • Einige Klassen Teichmüllerscher Abbildungen, die die Randpunkte festhalten
    • Reich E., and Strebel K. Einige Klassen Teichmüllerscher Abbildungen, die die Randpunkte festhalten. Ann. Acad. Sci. Fenn. Ser. AI 457 (1970)
    • (1970) Ann. Acad. Sci. Fenn. Ser. AI , vol.457
    • Reich, E.1    Strebel, K.2
  • 258
    • 67649350382 scopus 로고    scopus 로고
    • Mathematical Reviews 42#495
    • Mathematical Reviews 42#495
  • 261
    • 67649374418 scopus 로고    scopus 로고
    • MR5O#13511
    • MR5O#13511
  • 262
    • 0010034178 scopus 로고
    • Quasiconformal mappings of the punctured plane
    • Complex Analysis - Fifth Romanian-Finnish Seminar, Part I. (Bucharest 1981), Springer
    • Reich E., and Strebel K. Quasiconformal mappings of the punctured plane. Complex Analysis - Fifth Romanian-Finnish Seminar, Part I. (Bucharest 1981). Lecture Notes in Math. Vol. 1013 (1983), Springer 182-212
    • (1983) Lecture Notes in Math. , vol.1013 , pp. 182-212
    • Reich, E.1    Strebel, K.2
  • 263
    • 67649330193 scopus 로고    scopus 로고
    • Mathematical Reviews 85i:30045
    • Mathematical Reviews 85i:30045
  • 264
    • 67649301523 scopus 로고
    • On approximation of mappings by Teichmüller mappings
    • Reich E., and Strebel K. On approximation of mappings by Teichmüller mappings. Complex Variables Theory Appl. 7 (1986) 181-196
    • (1986) Complex Variables Theory Appl. , vol.7 , pp. 181-196
    • Reich, E.1    Strebel, K.2
  • 266
    • 51249174270 scopus 로고
    • On the Gerstenhaber-Rauch principle
    • Reich E., and Strebel K. On the Gerstenhaber-Rauch principle. Israel J. Math. 57 (1987) 89-100
    • (1987) Israel J. Math. , vol.57 , pp. 89-100
    • Reich, E.1    Strebel, K.2
  • 268
    • 0001560209 scopus 로고
    • Ordinary differential equations and quasiconformal mappings
    • Reimann H.M. Ordinary differential equations and quasiconformal mappings. Inventiones Math. 33 (1976) 247-270
    • (1976) Inventiones Math. , vol.33 , pp. 247-270
    • Reimann, H.M.1
  • 269
    • 67649377160 scopus 로고    scopus 로고
    • Mathematical Reviews 53#13556
    • Mathematical Reviews 53#13556
  • 270
    • 0001877175 scopus 로고
    • Invariant extension of quasiconformal deformations
    • Reimann H.M. Invariant extension of quasiconformal deformations. Ann. Acad. Sci. Fenn. Ser. AI Math. 10 (1985) 477-492
    • (1985) Ann. Acad. Sci. Fenn. Ser. AI Math. , vol.10 , pp. 477-492
    • Reimann, H.M.1
  • 272
    • 84981440851 scopus 로고
    • Modifizierung und Erweiterung einer Schifferschen Variationsmethode für quasikonforme Abbildungen
    • Renelt H. Modifizierung und Erweiterung einer Schifferschen Variationsmethode für quasikonforme Abbildungen. Math. Nachr. 55 (1973) 353-379
    • (1973) Math. Nachr. , vol.55 , pp. 353-379
    • Renelt, H.1
  • 273
    • 67649350376 scopus 로고    scopus 로고
    • MR49#3116
    • MR49#3116
  • 275
    • 67649338493 scopus 로고    scopus 로고
    • Mathematical Reviews 49#8783
    • Mathematical Reviews 49#8783
  • 276
    • 1942544396 scopus 로고
    • Necessary and sufficient conditions for extremality in certain classes of quasiconformal mappings
    • Sakan K.-i. Necessary and sufficient conditions for extremality in certain classes of quasiconformal mappings. J. Math. Kyoto Univ. 26 (1986) 31-37
    • (1986) J. Math. Kyoto Univ. , vol.26 , pp. 31-37
    • Sakan, K.-i.1
  • 278
    • 84972551289 scopus 로고
    • A fundamental variational lemma for extremal quasiconformal mappings compatible with a Fuchsian group
    • Sakan K.-i. A fundamental variational lemma for extremal quasiconformal mappings compatible with a Fuchsian group. Tôhoku Math. J. (2) 39 (1987) 105-114
    • (1987) Tôhoku Math. J. (2) , vol.39 , pp. 105-114
    • Sakan, K.-i.1
  • 280
    • 84972553931 scopus 로고
    • On some extremal quasiconformal mappings of disc
    • Sasaki T. On some extremal quasiconformal mappings of disc. Osaka J. Math. 7 (1970) 527-534
    • (1970) Osaka J. Math. , vol.7 , pp. 527-534
    • Sasaki, T.1
  • 281
    • 67649330200 scopus 로고    scopus 로고
    • Mathematical Reviews 43#5031
    • Mathematical Reviews 43#5031
  • 282
    • 84972494019 scopus 로고
    • A variational method for univalent quasiconformal mappings
    • Schiffer M. A variational method for univalent quasiconformal mappings. Duke Math. J. 33 (1966) 395-411
    • (1966) Duke Math. J. , vol.33 , pp. 395-411
    • Schiffer, M.1
  • 283
    • 67649301524 scopus 로고    scopus 로고
    • Mathematical Reviews 33#5883
    • Mathematical Reviews 33#5883
  • 284
    • 51249191439 scopus 로고
    • The extremal property of certain Teichmüller mappings
    • Sethares G.C. The extremal property of certain Teichmüller mappings. Comment. Math. Helv. 43 (1968) 98-119
    • (1968) Comment. Math. Helv. , vol.43 , pp. 98-119
    • Sethares, G.C.1
  • 285
    • 67649355383 scopus 로고    scopus 로고
    • MR37#4253
    • MR37#4253
  • 286
    • 2942656524 scopus 로고
    • Parametric representation of quasiconformal mappings
    • Sha D.-S. Parametric representation of quasiconformal mappings. Science Record (Peking) 3 (1959) 400-407
    • (1959) Science Record (Peking) , vol.3 , pp. 400-407
    • Sha, D.-S.1
  • 287
    • 67649355388 scopus 로고    scopus 로고
    • Mathematical Reviews 43#55
    • Mathematical Reviews 43#55
  • 288
    • 55549091888 scopus 로고
    • Some inequalities for analytic functions integrable over a plane domain
    • Gdansk
    • Shapiro H.S. Some inequalities for analytic functions integrable over a plane domain. Proc. Conference on Function Spaces and Approximations. Gdansk (1979) 645-666
    • (1979) Proc. Conference on Function Spaces and Approximations , pp. 645-666
    • Shapiro, H.S.1
  • 289
    • 67649338494 scopus 로고    scopus 로고
    • Mathematical Reviews 84i:30002
    • Mathematical Reviews 84i:30002
  • 293
    • 67649317733 scopus 로고    scopus 로고
    • Mathematical Reviews 40#4743
    • Mathematical Reviews 40#4743
  • 294
    • 67649314590 scopus 로고    scopus 로고
    • D.-S. Sja (See D.-S. Sha [145]).
    • D.-S. Sja (See D.-S. Sha [145]).
  • 297
    • 84968475576 scopus 로고
    • On the maximal dilation of quasiconformal mappings
    • Strebel K. On the maximal dilation of quasiconformal mappings. Proc. Amer. Math. Soc. 6 (1955) 903-909
    • (1955) Proc. Amer. Math. Soc. , vol.6 , pp. 903-909
    • Strebel, K.1
  • 299
    • 0039559674 scopus 로고
    • Eine Abschätzung der Länge gewisser Kurven bei quasikonformer Abbildung
    • 10 pp.
    • 10 pp. Strebel K. Eine Abschätzung der Länge gewisser Kurven bei quasikonformer Abbildung. Ann. Acad. Sci Fenn. AI 243 (1957)
    • (1957) Ann. Acad. Sci Fenn. AI , vol.243
    • Strebel, K.1
  • 300
    • 67649346397 scopus 로고    scopus 로고
    • Mathematical Reviews 20#2425
    • Mathematical Reviews 20#2425
  • 301
    • 51249194214 scopus 로고
    • Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises
    • 1962
    • 1962. Strebel K. Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises. Comment. Math. Helv. 36 (1961) 306-323
    • (1961) Comment. Math. Helv. , vol.36 , pp. 306-323
    • Strebel, K.1
  • 302
    • 67649323109 scopus 로고    scopus 로고
    • Mathematical Reviews 29#1331
    • Mathematical Reviews 29#1331
  • 303
    • 51249192912 scopus 로고
    • Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises. II
    • Strebel K. Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises. II. Comment. Math. Helv. 39 (1964) 77-89
    • (1964) Comment. Math. Helv. , vol.39 , pp. 77-89
    • Strebel, K.1
  • 304
    • 67649303855 scopus 로고    scopus 로고
    • Mathematical Reviews 31#346
    • Mathematical Reviews 31#346
  • 305
    • 0013129271 scopus 로고
    • Über quadratische Differential mit geschlossenen Trajektorien und extremale quasikonforme Abbildungen
    • Nevanlinna G.v.R. (Ed), Springer
    • Strebel K. Über quadratische Differential mit geschlossenen Trajektorien und extremale quasikonforme Abbildungen. In: Nevanlinna G.v.R. (Ed). Festband zum 70 (1966), Springer 105-127
    • (1966) Festband zum , vol.70 , pp. 105-127
    • Strebel, K.1
  • 306
    • 67649333928 scopus 로고    scopus 로고
    • Mathematical Reviews 35#368
    • Mathematical Reviews 35#368
  • 307
    • 2642526834 scopus 로고
    • On the trajectory structure of quadratic differentials
    • Princeton. Proc. 1973 Conference on Discontinuous Groups and Riemann Surfaces. Univ. of Maryland
    • Princeton. Strebel K. On the trajectory structure of quadratic differentials. Proc. 1973 Conference on Discontinuous Groups and Riemann Surfaces. Univ. of Maryland. Ann. of Math. Sudies Vol. 79 (1974) 419-438
    • (1974) Ann. of Math. Sudies , vol.79 , pp. 419-438
    • Strebel, K.1
  • 308
    • 67649374420 scopus 로고    scopus 로고
    • Mathematical Reviews 52#14287
    • Mathematical Reviews 52#14287
  • 309
    • 33645917214 scopus 로고
    • On quadratic differentials and extremal quasiconformal mappings
    • Canadian Mathematical Congress, Vancouver, 1974
    • Strebel K. On quadratic differentials and extremal quasiconformal mappings. Proc. International Congress of Mathematicians Vol. 2 (1975), Canadian Mathematical Congress, Vancouver, 1974 223-227
    • (1975) Proc. International Congress of Mathematicians , vol.2 , pp. 223-227
    • Strebel, K.1
  • 310
    • 67649346400 scopus 로고    scopus 로고
    • Mathematical Reviews 58#22549
    • Mathematical Reviews 58#22549
  • 311
    • 51249188228 scopus 로고
    • On the existence of extremal Teichmueller mappings
    • Strebel K. On the existence of extremal Teichmueller mappings. J. Analyse Math. 30 (1976) 464-480
    • (1976) J. Analyse Math. , vol.30 , pp. 464-480
    • Strebel, K.1
  • 312
    • 67649330196 scopus 로고    scopus 로고
    • Mathematical Reviews 55#12912
    • Mathematical Reviews 55#12912
  • 313
    • 67649367760 scopus 로고
    • Quasikonforme Abbildungen
    • No. 61. Steiermärkisches Mathematisches Symposium. 8. (Graz, 1976) 41 pp.
    • No. 61. Strebel K. Quasikonforme Abbildungen. 8. Steiermärkisches Mathematisches Symposium. (Graz, 1976). Ber. Math.-Statist. Sekt. Forsch. Graz (1976) 41 pp.
    • (1976) Ber. Math.-Statist. Sekt. Forsch. Graz
    • Strebel, K.1
  • 314
    • 67649350379 scopus 로고    scopus 로고
    • Mathematical Reviews 58#28488
    • Mathematical Reviews 58#28488
  • 315
    • 51249182446 scopus 로고
    • On lifts of extremal quasiconformal mappings
    • Strebel K. On lifts of extremal quasiconformal mappings. J. Analyse Math. 31 (1977) 191-203
    • (1977) J. Analyse Math. , vol.31 , pp. 191-203
    • Strebel, K.1
  • 316
    • 67649303849 scopus 로고    scopus 로고
    • Mathematical Reviews 58#28489
    • Mathematical Reviews 58#28489
  • 317
    • 51249182934 scopus 로고
    • On quasiconformal mappings of open Riemann surfaces
    • Strebel K. On quasiconformal mappings of open Riemann surfaces. Comment. Math. Helv. 53 (1978) 301-321
    • (1978) Comment. Math. Helv. , vol.53 , pp. 301-321
    • Strebel, K.1
  • 318
    • 67649303848 scopus 로고    scopus 로고
    • Mathematical Reviews 81i:30041
    • Mathematical Reviews 81i:30041
  • 319
    • 84968517846 scopus 로고
    • Is there always a unique Teichmüller mapping?
    • Strebel K. Is there always a unique Teichmüller mapping?. Proc. Amer. Math. Soc. 90 (1984) 240-242
    • (1984) Proc. Amer. Math. Soc. , vol.90 , pp. 240-242
    • Strebel, K.1
  • 321
    • 67649357672 scopus 로고
    • On approximations of quasiconformal mappings
    • Strebel K. On approximations of quasiconformal mappings. Complex Variables Theory Appl. 3 (1984) 223-240
    • (1984) Complex Variables Theory Appl. , vol.3 , pp. 223-240
    • Strebel, K.1
  • 325
    • 84951601093 scopus 로고
    • Extremal quasiconformal mappings
    • (Report No. 09419-86, August 1986), Mathematical Sciences Research Institute, Berkeley
    • (Report No. 09419-86, August 1986). Strebel K. Extremal quasiconformal mappings. Resultate Math. 10 (1986), Mathematical Sciences Research Institute, Berkeley 168-210
    • (1986) Resultate Math. , vol.10 , pp. 168-210
    • Strebel, K.1
  • 327
    • 67649327930 scopus 로고
    • On the existence of extremal Teichmüller mappings
    • Strebel K. On the existence of extremal Teichmüller mappings. Complex Variables Theory Appl. 9 (1987) 287-295
    • (1987) Complex Variables Theory Appl. , vol.9 , pp. 287-295
    • Strebel, K.1
  • 329
    • 7444229021 scopus 로고
    • On the extremality and unique extremality of quasiconformal mappings of a parallel strip
    • Strebel K. On the extremality and unique extremality of quasiconformal mappings of a parallel strip. Rev. Roumaine Math. Pures Appl. 32 (1987) 923-928
    • (1987) Rev. Roumaine Math. Pures Appl. , vol.32 , pp. 923-928
    • Strebel, K.1
  • 331
    • 4243237897 scopus 로고
    • On the extremality and unique extremality of certain Teichmüller mappings
    • Birkhäuser, Basel
    • Strebel K. On the extremality and unique extremality of certain Teichmüller mappings. Complex Analysis (1988), Birkhäuser, Basel 225-238
    • (1988) Complex Analysis , pp. 225-238
    • Strebel, K.1
  • 333
    • 66049161102 scopus 로고    scopus 로고
    • On certain extremal quasiconformal mappings of parabolic regions
    • Strebel K. On certain extremal quasiconformal mappings of parabolic regions. Mitt. Math. Sem. Giessen 228 (1996) 39-50
    • (1996) Mitt. Math. Sem. Giessen , vol.228 , pp. 39-50
    • Strebel, K.1
  • 335
    • 0032350641 scopus 로고    scopus 로고
    • Point shift differentials and extremal quasiconformal mappings
    • Strebel K. Point shift differentials and extremal quasiconformal mappings. Ann. Fenn. 23 (1998) 475-494
    • (1998) Ann. Fenn. , vol.23 , pp. 475-494
    • Strebel, K.1
  • 337
    • 67649301527 scopus 로고    scopus 로고
    • Extremal Teichmuller mappings with given asymptotic behaviour
    • Cazacu C.A., Lehto O.E., and Rassias Th.M. (Eds), World Scientific, Singapore
    • Strebel K. Extremal Teichmuller mappings with given asymptotic behaviour. In: Cazacu C.A., Lehto O.E., and Rassias Th.M. (Eds). Analysis and Topology (1998), World Scientific, Singapore 677-695
    • (1998) Analysis and Topology , pp. 677-695
    • Strebel, K.1
  • 339
    • 0002659404 scopus 로고    scopus 로고
    • On the dilatation of extremal quasiconformal mappings of polygons
    • Strebel K. On the dilatation of extremal quasiconformal mappings of polygons. Comment. Math. Helv. 74 (1999) 143-149
    • (1999) Comment. Math. Helv. , vol.74 , pp. 143-149
    • Strebel, K.1
  • 340
    • 67649346402 scopus 로고    scopus 로고
    • Mathematical Reviews 2000i:30048
    • Mathematical Reviews 2000i:30048
  • 341
    • 0040363709 scopus 로고
    • Extremale quasikonforme Abbildungen und quadratische Differentiale
    • 197 pp.
    • 197 pp. Teichmüller O. Extremale quasikonforme Abbildungen und quadratische Differentiale. Abh. Preuß. Akad. Wiss., Math.-naturw. Kl. 22 (1939)
    • (1939) Abh. Preuß. Akad. Wiss., Math.-naturw. Kl. , vol.22
    • Teichmüller, O.1
  • 342
    • 67649303853 scopus 로고    scopus 로고
    • Mathematical Reviews 2-187
    • Mathematical Reviews 2-187
  • 343
    • 66049138233 scopus 로고
    • Vollständige Lösung einer Extremalaufgabe der quasikonformen Abbildung
    • 18 pp.
    • 18 pp. Teichmüller O. Vollständige Lösung einer Extremalaufgabe der quasikonformen Abbildung. Abh. PreuB. Akad. Wiss., Math.-naturw. Kl. 5 (1941)
    • (1941) Abh. PreuB. Akad. Wiss., Math.-naturw. Kl. , vol.5
    • Teichmüller, O.1
  • 344
    • 67649348960 scopus 로고    scopus 로고
    • Mathematical Reviews 8-202
    • Mathematical Reviews 8-202
  • 345
    • 0000849950 scopus 로고
    • Ein Verschiebungssatz der quasikonformen Abbildung
    • Teichmüller O. Ein Verschiebungssatz der quasikonformen Abbildung. Deutsche Math. 7 (1944) 336-343
    • (1944) Deutsche Math. , vol.7 , pp. 336-343
    • Teichmüller, O.1
  • 346
    • 67649367762 scopus 로고    scopus 로고
    • Mathematical Reviews 8-327
    • Mathematical Reviews 8-327
  • 347
    • 0031444034 scopus 로고    scopus 로고
    • Moduli of quadrilaterals and extremal quasiconformal extensions of quasisymmetric functions
    • Wu S. Moduli of quadrilaterals and extremal quasiconformal extensions of quasisymmetric functions. Comment. Math. Helv. 72 (1997) 593-604
    • (1997) Comment. Math. Helv. , vol.72 , pp. 593-604
    • Wu, S.1
  • 349
    • 0042224499 scopus 로고    scopus 로고
    • Hamilton sequences for extremal quasiconformal mappings of the unit disk
    • Wu S. Hamilton sequences for extremal quasiconformal mappings of the unit disk. Sci. China Ser. A 42 (1999) 1032-1038
    • (1999) Sci. China Ser. A , vol.42 , pp. 1032-1038
    • Wu, S.1
  • 350
    • 67649338496 scopus 로고    scopus 로고
    • Mathematical Reviews 2001c:30023
    • Mathematical Reviews 2001c:30023
  • 351
    • 67649323108 scopus 로고    scopus 로고
    • D. Xia (See D.-S. Sja [149]).
    • D. Xia (See D.-S. Sja [149]).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.