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Volumn 30, Issue 1, 2005, Pages 49-69

On Q-homeomorphisms

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EID: 19744375202     PISSN: 1239629X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (98)

References (56)
  • 1
    • 34250607060 scopus 로고
    • Conformal invariants and funcion-theoretic null-sets
    • [AB]
    • [AB] AHLFORS, L. and A. BEURLING: Conformal invariants and funcion-theoretic null-sets. - Acta Math. 83, 1950, 101-129.
    • (1950) Acta Math. , vol.83 , pp. 101-129
    • Ahlfors, L.1    Beurling, A.2
  • 2
    • 0034422250 scopus 로고    scopus 로고
    • Mappings of BMO-bounded distortion
    • [AIKM]
    • [AIKM] ASTALA, K., T. IWANIEC, P. KOSKELA, and G. MARTIN: Mappings of BMO-bounded distortion. - Math. Ann. 317, 2000, 703-726.
    • (2000) Math. Ann. , vol.317 , pp. 703-726
    • Astala, K.1    Iwaniec, T.2    Koskela, P.3    Martin, G.4
  • 6
    • 0001552394 scopus 로고
    • Extremal length and functional completion
    • [Fu]
    • [Fu] FUGLEDE, B.: Extremal length and functional completion. - Acta Math. 98, 1957, 171-219.
    • (1957) Acta Math. , vol.98 , pp. 171-219
    • Fuglede, B.1
  • 8
    • 0040755007 scopus 로고
    • Uniform domains and ubiquitous quasidisk
    • 2]
    • 2] GEHRING, F. G.: Uniform domains and ubiquitous quasidisk. - Jahresber. Deutsch. Math.-Verein. 89, 1987, 88-103.
    • (1987) Jahresber. Deutsch. Math.-verein. , vol.89 , pp. 88-103
    • Gehring, F.G.1
  • 10
    • 51249174222 scopus 로고
    • Quasiextremal distance domains and extension of quasiconformal mappings
    • [GM]
    • [GM] GEHRING, F. G., and O. MARTIO: Quasiextremal distance domains and extension of quasiconformal mappings. - J. Anal. Math. 45, 1985, 181-206.
    • (1985) J. Anal. Math. , vol.45 , pp. 181-206
    • Gehring, F.G.1    Martio, O.2
  • 11
    • 51649164654 scopus 로고
    • Uniform domains and the quasi-hyperbolic metric
    • [GO]
    • [GO] GEHRING, F. G., and B. J. OSGOOD: Uniform domains and the quasi-hyperbolic metric. - J. Anal. Math. 36, 1979, 50-74.
    • (1979) J. Anal. Math. , vol.36 , pp. 50-74
    • Gehring, F.G.1    Osgood, B.J.2
  • 12
    • 0038906245 scopus 로고    scopus 로고
    • On global integrability of BMO functions on general domains
    • 1]
    • 1] GOTOH, Y.: On global integrability of BMO functions on general domains. - J. Anal. Math. 75, 1998, 67-84.
    • (1998) J. Anal. Math. , vol.75 , pp. 67-84
    • Gotoh, Y.1
  • 13
    • 0039560093 scopus 로고
    • BMO extension theorem for relatively uniform domains
    • 2]
    • 2] GOTOH, Y.: BMO extension theorem for relatively uniform domains. - J. Math. Kyoto Univ. 33, 1993, 171-193.
    • (1993) J. Math. Kyoto Univ. , vol.33 , pp. 171-193
    • Gotoh, Y.1
  • 14
    • 0010717318 scopus 로고
    • Quasiconformal mappings onto John domains
    • [He]
    • [He] HEINONEN, J.: Quasiconformal mappings onto John domains. - Rev. Mat. Iberoamericana 5, 1989, 97-123.
    • (1989) Rev. Mat. Iberoamericana , vol.5 , pp. 97-123
    • Heinonen, J.1
  • 15
    • 21344488568 scopus 로고
    • Sobolev mappings with integrable dilatation
    • [HK]
    • [HK] HEINONEN, J., and P. KOSKELA: Sobolev mappings with integrable dilatation. - Arch. Rational Mech. Anal. 125, 1993, 81-97.
    • (1993) Arch. Rational Mech. Anal. , vol.125 , pp. 81-97
    • Heinonen, J.1    Koskela, P.2
  • 16
    • 19744371099 scopus 로고
    • Locally uniform domains and quasiconformal mappings
    • 1]
    • 1] HERRON, D. A., and P. KOSKELA: Locally uniform domains and quasiconformal mappings. - Ann. Acad. Sci. Fenn. Ser. A I Math. 20, 1995, 187-206.
    • (1995) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.20 , pp. 187-206
    • Herron, D.A.1    Koskela, P.2
  • 17
    • 19744365366 scopus 로고
    • Quasiextremal distance domains and conformal mappings onto circle domains
    • 2]
    • 2] HERRON, D. A., and P. KOSKELA: Quasiextremal distance domains and conformal mappings onto circle domains. - Complex Variables Theory Appl. 15, 1990, 167-179.
    • (1990) Complex Variables Theory Appl. , vol.15 , pp. 167-179
    • Herron, D.A.1    Koskela, P.2
  • 18
    • 0036934670 scopus 로고    scopus 로고
    • Mappings of BMO-distortion and Beltrami-type operators
    • [IKM]
    • [IKM] IWANIEC, T., P. KOSKELA, and G. MARTIN: Mappings of BMO-distortion and Beltrami-type operators. - J. Anal. Math. 88, 2002, 337-381.
    • (2002) J. Anal. Math. , vol.88 , pp. 337-381
    • Iwaniec, T.1    Koskela, P.2    Martin, G.3
  • 20
    • 0035638729 scopus 로고    scopus 로고
    • Mappings of finite distortion: Monotonicity and continuity
    • [IKO]
    • [IKO] IWANIEC, T., P. KOSKELA, and J. ONNINEN: Mappings of finite distortion: monotonicity and continuity. - Invent. Math. 144, 2001, 507-531.
    • (2001) Invent. Math. , vol.144 , pp. 507-531
    • Iwaniec, T.1    Koskela, P.2    Onninen, J.3
  • 22
    • 84966237866 scopus 로고
    • On mappings with integrable dilatation
    • [IŠ]
    • [IŠ] IWANIEC, T., and V. ŠVERÁK: On mappings with integrable dilatation. - Proc. Amer. Math. Soc. 118, 1993, 181-188.
    • (1993) Proc. Amer. Math. Soc. , vol.118 , pp. 181-188
    • Iwaniec, T.1    Šverák, V.2
  • 23
    • 0003016779 scopus 로고
    • Extension theorems for BMO
    • [Jo]
    • [Jo] JONES, P. M.: Extension theorems for BMO. - Indiana Univ. Math. J. 29, 1980, 41-66.
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 41-66
    • Jones, P.M.1
  • 24
    • 84980088555 scopus 로고
    • Rotation and strain
    • [Jo*]
    • [Jo*] JOHN, F.: Rotation and strain. - Comm. Pure Appl. Math. 14, 1961, 391-413.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 391-413
    • John, F.1
  • 25
    • 84980082306 scopus 로고
    • On functions of bounded mean oscillation
    • [JN]
    • [JN] JOHN, F., and L. NIRENBERG: On functions of bounded mean oscillation. - Comm. Pure Appl. Math. 14, 1961, 415-426.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 415-426
    • John, F.1    Nirenberg, L.2
  • 26
    • 0035602793 scopus 로고    scopus 로고
    • Mappings of finite distortion: Discreteness and openness
    • 1]
    • 1] KAUHANEN, J., P. KOSKELA, and J. MALY: Mappings of finite distortion: discreteness and openness. - Arch. Rational Mech. Anal. 160, 2001, 135-151.
    • (2001) Arch. Rational Mech. Anal. , vol.160 , pp. 135-151
    • Kauhanen, J.1    Koskela, P.2    Maly, J.3
  • 27
    • 0000251758 scopus 로고    scopus 로고
    • Mappings of finite distortion: Condition N
    • 2]
    • 2] KAUHANEN, J., P. KOSKELA, and J. MALY: Mappings of finite distortion: condition N. - Michigan Math. J. 49, 2001, 169-181.
    • (2001) Michigan Math. J. , vol.49 , pp. 169-181
    • Kauhanen, J.1    Koskela, P.2    Maly, J.3
  • 28
    • 0037407979 scopus 로고    scopus 로고
    • Mappings of finite distortion: The sharp modulus of continuity
    • [KO]
    • [KO] KOSKELA, P., and J. ONNINEN: Mappings of finite distortion: the sharp modulus of continuity. - Trans. Amer. Math. Soc. 355, 2003, 1905-1920.
    • (2003) Trans. Amer. Math. Soc. , vol.355 , pp. 1905-1920
    • Koskela, P.1    Onninen, J.2
  • 29
    • 0141725729 scopus 로고    scopus 로고
    • Mappings of finite distortion: Removable singularities
    • [KR]
    • [KR] KOSKELA, P., and K. RAJALA: Mappings of finite distortion: removable singularities. - Israel J. Math. 136, 2003, 269-283.
    • (2003) Israel J. Math. , vol.136 , pp. 269-283
    • Koskela, P.1    Rajala, K.2
  • 30
    • 0003391813 scopus 로고
    • [Ku]. Academic Press, New York-London
    • [Ku] KURATOWSKI, K.: Topology, 1. - Academic Press, New York-London, 1966.
    • (1966) Topology , vol.1
    • Kuratowski, K.1
  • 32
    • 84968475319 scopus 로고
    • Quasiconformal and bi-lipschitz homeomorphisms, uniform domains and the quasihyperbolic metric
    • [Mar]
    • [Mar] MARTIN, G. J.: Quasiconformal and bi-lipschitz homeomorphisms, uniform domains and the quasihyperbolic metric. - Trans. Amer. Math. Soc. 292, 1985, 169-191.
    • (1985) Trans. Amer. Math. Soc. , vol.292 , pp. 169-191
    • Martin, G.J.1
  • 33
    • 0003796632 scopus 로고
    • [Maz]. Springer-Verlag, Berlin-New York
    • [Maz] MAZ'YA, V.: Sobolev Spaces. - Springer-Verlag, Berlin-New York, 1985.
    • (1985) Sobolev Spaces
    • Maz'Ya, V.1
  • 36
    • 0002631048 scopus 로고
    • Whitney cubes, p-capacity, and Minkowski content
    • [MV]
    • [MV] MARTIO, O., and M. VUORINEN: Whitney cubes, p-capacity, and Minkowski content. - Exposition. Math. 5, 1987, 17-40.
    • (1987) Exposition. Math. , vol.5 , pp. 17-40
    • Martio, O.1    Vuorinen, M.2
  • 37
    • 84967773769 scopus 로고
    • Mappings with integrable dilatation in higher dimensions
    • 1]
    • 1] MANFREDI, J. J., and E. VILLAMOR: Mappings with integrable dilatation in higher dimensions. - Bull. Amer. Math. Soc. 32, 1995, 235-240.
    • (1995) Bull. Amer. Math. Soc. , vol.32 , pp. 235-240
    • Manfredi, J.J.1    Villamor, E.2
  • 38
    • 0000811925 scopus 로고    scopus 로고
    • An extension of Reshetnyak's theorem
    • 2]
    • 2] MANFREDI, J. J., and E. VILLAMOR: An extension of Reshetnyak's theorem. - Indiana Univ. Math. J. 47, 1998, 1131-1145.
    • (1998) Indiana Univ. Math. J. , vol.47 , pp. 1131-1145
    • Manfredi, J.J.1    Villamor, E.2
  • 39
    • 0013537755 scopus 로고
    • Boundary behavior of quasiconformal mappings in n-space
    • [Nä]
    • [Nä] NÄKKI, R.: Boundary behavior of quasiconformal mappings in n-space. - Ann. Acad. Sci. Fenn. Ser. A I Math. 484, 1970, 1-50.
    • (1970) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.484 , pp. 1-50
    • Näkki, R.1
  • 41
    • 0003290528 scopus 로고
    • Space mappings with bounded distortion
    • 1], Amer. Math. Soc.
    • 1] RESHETNYAK, Yu. G.: Space Mappings with Bounded Distortion. - Transl. Math. Monogr. 73, Amer. Math. Soc., 1989.
    • (1989) Transl. Math. Monogr. , vol.73
    • Reshetnyak, Yu.G.1
  • 42
    • 0010982265 scopus 로고
    • Some geometric properties of functions and mappings with generalized derivatives
    • 2]
    • 2] RESHETNYAK, Yu. G.: Some geometric properties of functions and mappings with generalized derivatives. - Sibirsk. Mat. Zh. 7, 1966, 886-919.
    • (1966) Sibirsk. Mat. Zh. , vol.7 , pp. 886-919
    • Reshetnyak, Yu.G.1
  • 43
    • 0011334773 scopus 로고
    • Generalized derivatives and differentiability almost everywhere
    • 3]
    • 3] RESHETNYAK, Yu. G.: Generalized derivatives and differentiability almost everywhere. - Mat. Sb. (N.S.) 75(117), 1968, 323-334.
    • (1968) Mat. Sb. (N.S.) , vol.75 , Issue.117 , pp. 323-334
    • Reshetnyak, Yu.G.1
  • 44
    • 34147187018 scopus 로고
    • Funktionen beschränkter mittlerer Oscillation
    • [RR], Springer-Verlag
    • [RR] REIMANN, H. M., and T. RYCHENER: Funktionen beschränkter mittlerer Oscillation. - Lecture Notes in Math. 487, Springer-Verlag, 1975.
    • (1975) Lecture Notes in Math. , vol.487
    • Reimann, H.M.1    Rychener, T.2
  • 48
    • 19744367379 scopus 로고    scopus 로고
    • Plane mappings with dilatation dominated by functions of bounded mean oscillation
    • 3]
    • 3] RYAZANOV, V., U. SREBRO, and E. YAKUBOV: Plane mappings with dilatation dominated by functions of bounded mean oscillation. - Siberian Adv. Math. 11, 2001, 94-130.
    • (2001) Siberian Adv. Math. , vol.11 , pp. 94-130
    • Ryazanov, V.1    Srebro, U.2    Yakubov, E.3
  • 49
    • 84871179301 scopus 로고    scopus 로고
    • Boundary behavior of BMO-QC automorphisms
    • [Sa] (to appear)
    • [Sa] SASTRY, S.: Boundary behavior of BMO-QC automorphisms. - Israel J. Math. (to appear).
    • Israel J. Math.
    • Sastry, S.1
  • 50
    • 0000475567 scopus 로고
    • Exponential integrability of the quasi-hyperbolic metric on Hölder domain
    • [SS]
    • [SS] SMITH, W. S., and D. A. STEGENGA: Exponential integrability of the quasi-hyperbolic metric on Hölder domain. - Ann. Acad. Sci. Fenn. Ser. A I Math. 16, 1991, 345-360.
    • (1991) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.16 , pp. 345-360
    • Smith, W.S.1    Stegenga, D.A.2
  • 51
    • 0000985394 scopus 로고
    • p-averaging domains and the Poincaré inequality
    • [Sta]
    • p-averaging domains and the Poincaré inequality. - Ann. Acad. Sci. Fenn. Ser. A I Math. 14, 1989, 103-127.
    • (1989) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.14 , pp. 103-127
    • Staples, S.G.1
  • 52
    • 0002036060 scopus 로고
    • Compactness properties of μ-homeomorphisms
    • [Tu]
    • [Tu] TUKIA, P.: Compactness properties of μ-homeomorphisms. - Ann. Acad. Sci. Fenn. Ser. A I Math. 16, 1991, 47-69.
    • (1991) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.16 , pp. 47-69
    • Tukia, P.1
  • 53
    • 0037932535 scopus 로고
    • Lectures in n-dimensional quasiconformal mappings
    • 1], Springer-Verlag
    • 1] VÄISÄLÄ, J.: Lectures in n-Dimensional Quasiconformal Mappings. - Lecture Notes in Math. 229, Springer-Verlag, 1971.
    • (1971) Lecture Notes in Math. , vol.229
    • Väisälä, J.1
  • 54
    • 84972580513 scopus 로고
    • Uniform domains
    • 2]
    • 2] VÄISÄLÄ, J.: Uniform domains. - Tôhoku Math. J. 40, 1988, 101-118.
    • (1988) Tôhoku Math. J. , vol.40 , pp. 101-118
    • Väisälä, J.1
  • 55
    • 0003295294 scopus 로고
    • Geometry and Quasiregular mappings
    • [Vu], Springer-Verlag
    • [Vu] VUORINEN, M.: Geometry and Quasiregular mappings. - Lecture Notes in Math. 1319, Springer-Verlag, 1988.
    • (1988) Lecture Notes in Math. , vol.1319
    • Vuorinen, M.1
  • 56
    • 19744364176 scopus 로고
    • [Wi]. Amer. Math. Soc. Colloq. Publ.
    • [Wi] WILDER, R. L.: Topology of Manifolds. - Amer. Math. Soc. Colloq. Publ., 1949.
    • (1949) Topology of Manifolds
    • Wilder, R.L.1


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