메뉴 건너뛰기




Volumn 37, Issue 2, 1999, Pages 291-304

Removable sets for sobolev spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0007341244     PISSN: 00042080     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02412216     Document Type: Article
Times cited : (56)

References (34)
  • 2
    • 34250607060 scopus 로고
    • Conformal invariants and function-theoretic null-sets
    • AHLFORS, L. and BEURLING, A., Conformal invariants and function-theoretic null-sets, Acta Math. 83 (1950), 101-129.
    • (1950) Acta Math. , vol.83 , pp. 101-129
    • Ahlfors, L.1    Beurling, A.2
  • 3
    • 0040749251 scopus 로고
    • On sets which are removable for quasiconformal space mappings
    • Russian
    • ASEEV, V. V. and SYCHEV, A. V., On sets which are removable for quasiconformal space mappings, Sibirsk. Mat. Zh. 15 (1974), 1213-1227, 1429 (Russian). English transl.: Siberian Math. J. 15 (1974), 851-861.
    • (1974) Sibirsk. Mat. Zh. , vol.15 , pp. 1213-1227
    • Aseev, V.V.1    Sychev, A.V.2
  • 4
    • 0040749251 scopus 로고
    • ASEEV, V. V. and SYCHEV, A. V., On sets which are removable for quasiconformal space mappings, Sibirsk. Mat. Zh. 15 (1974), 1213-1227, 1429 (Russian). English transl.: Siberian Math. J. 15 (1974), 851-861.
    • (1974) Siberian Math. J. , vol.15 , pp. 851-861
  • 5
    • 0002681839 scopus 로고
    • Some homeomorphisms of the sphere conformal off a curve
    • BISHOP, C., Some homeomorphisms of the sphere conformal off a curve, Ann. Acad. Sci. Fenn. Ser. A I Math. 19 (1994), 323-338.
    • (1994) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.19 , pp. 323-338
    • Bishop, C.1
  • 7
    • 51249174222 scopus 로고
    • Quasiextremal distance domains and extension of quasiconformal mappings
    • GEHRING, F. W. and MARTIO, O., 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.W.1    Martio, O.2
  • 8
    • 0039563894 scopus 로고
    • p of quasiconformaland quasi-isometric mappings
    • Russian
    • p of quasiconformaland quasi-isometric mappings, Sibirsk. Mat. Zh. 18 (1977), 48-68, 237 (Russian). English transi.: Siberian Math. J. 18 (1977), 35-50.
    • (1977) Sibirsk. Mat. Zh. , vol.18 , pp. 48-68
    • Gol'dstein, V.M.1    Vodop'yanov, S.K.2
  • 9
    • 0038970863 scopus 로고
    • p of quasiconformaland quasi-isometric mappings, Sibirsk. Mat. Zh. 18 (1977), 48-68, 237 (Russian). English transi.: Siberian Math. J. 18 (1977), 35-50.
    • (1977) Siberian Math. J. , vol.18 , pp. 35-50
  • 12
    • 0012521247 scopus 로고
    • Removable singularities and condenser capacities
    • HEDBERG, L. I., Removable singularities and condenser capacities, Ark. Mat. 12 (1974), 181-201.
    • (1974) Ark. Mat. , vol.12 , pp. 181-201
    • Hedberg, L.I.1
  • 13
    • 0002392641 scopus 로고
    • Definitions of quasiconformality
    • HEINONEN, J. and KOSKELA, P., Definitions of quasiconformality, Invent. Math. 120 (1995), 61-79.
    • (1995) Invent. Math. , vol.120 , pp. 61-79
    • Heinonen, J.1    Koskela, P.2
  • 14
    • 0030046039 scopus 로고    scopus 로고
    • From local to global in quasiconformal structures
    • HEINONEN, J. and KOSKELA, P., From local to global in quasiconformal structures, Proc. Nat. Acad. Sci. U.S.A. 93 (1996), 554-556.
    • (1996) Proc. Nat. Acad. Sci. U.S.A. , vol.93 , pp. 554-556
    • Heinonen, J.1    Koskela, P.2
  • 15
    • 0002048617 scopus 로고    scopus 로고
    • Quasiconformal maps in metric spaces with controlled geometry
    • HEINONEN, J. and KOSKELA, P., Quasiconformal maps in metric spaces with controlled geometry, Acta Math. 181 (1998), 1-61.
    • (1998) Acta Math. , vol.181 , pp. 1-61
    • Heinonen, J.1    Koskela, P.2
  • 16
    • 0007267546 scopus 로고    scopus 로고
    • A note on Lipschitz functions, upper gradients, and the Poincaré inequality
    • HEINONEN, J. and KOSKELA, P., A note on Lipschitz functions, upper gradients, and the Poincaré inequality, New Zealand J. Math. 28 (1999), 37-42.
    • (1999) New Zealand J. Math. , vol.28 , pp. 37-42
    • Heinonen, J.1    Koskela, P.2
  • 17
    • 84968519118 scopus 로고
    • Uniform and sobolev extension domains
    • HERRON, D. A. and KOSKELA, P., Uniform and Sobolev extension domains, Proc. Amer. Math. Soc. 114 (1992), 483-489.
    • (1992) Proc. Amer. Math. Soc. , vol.114 , pp. 483-489
    • Herron, D.A.1    Koskela, P.2
  • 18
    • 0031536006 scopus 로고    scopus 로고
    • Continuity of Sobolev functions and Dirichlet finite harmonic measures
    • HERRON, D. A. and KOSKELA, P., Continuity of Sobolev functions and Dirichlet finite harmonic measures, Potential Anal. 6 (1997), 347-353.
    • (1997) Potential Anal. , vol.6 , pp. 347-353
    • Herron, D.A.1    Koskela, P.2
  • 19
    • 0002428795 scopus 로고
    • Quasiconformal mappings and extendability of functions in Sobolev spaces
    • JONES, P. W., Quasiconformal mappings and extendability of functions in Sobolev spaces, Acta Math. 147 (1981), 71-88.
    • (1981) Acta Math. , vol.147 , pp. 71-88
    • Jones, P.W.1
  • 20
    • 0001106001 scopus 로고    scopus 로고
    • On removable sets for quasiconformal mappings
    • KAUFMAN, R. and WU, J.-M., On removable sets for quasiconformal mappings, Ark. Mat. 34 (1996), 141-158.
    • (1996) Ark. Mat. , vol.34 , pp. 141-158
    • Kaufman, R.1    Wu, J.-M.2
  • 22
    • 0038979609 scopus 로고    scopus 로고
    • Extensions and imbeddings
    • KOSKELA, P., Extensions and imbeddings, J. Funct. Anal. 159 (1998), 369-383.
    • (1998) J. Funct. Anal. , vol.159 , pp. 369-383
    • Koskela, P.1
  • 23
    • 0002245026 scopus 로고    scopus 로고
    • Quasiconformal mappings and Sobolev spaces
    • KOSKELA, P. and MACMANUS, P., Quasiconformal mappings and Sobolev spaces, Studia Math. 131 (1998), 1-17.
    • (1998) Studia Math. , vol.131 , pp. 1-17
    • Koskela, P.1    Macmanus, P.2
  • 24
    • 21344460688 scopus 로고    scopus 로고
    • Regularity theory and traces of A-harmonic functions
    • KOSKELA, P., MANFREDI, J. and VILLAMOR, E., Regularity theory and traces of A-harmonic functions, Trans. Amer. Math. Soc. 348 (1996), 755-766.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 755-766
    • Koskela, P.1    Manfredi, J.2    Villamor, E.3
  • 25
    • 0039471842 scopus 로고
    • Hölder continuity of Sobolev functions and quasiconformal mappings
    • KOSKELA, P. and REITICH, F., Hölder continuity of Sobolev functions and quasiconformal mappings, Math. Z. 213 (1993), 457-472.
    • (1993) Math. Z. , vol.213 , pp. 457-472
    • Koskela, P.1    Reitich, F.2
  • 26
    • 0003796632 scopus 로고
    • Springer-Verlag, Berlin-Heidelberg-New York
    • MAZ'YA, V. G., Sobolev Spaces, Springer-Verlag, Berlin-Heidelberg-New York, 1985.
    • (1985) Sobolev Spaces
    • Maz'ya, V.G.1
  • 28
    • 0039563896 scopus 로고
    • p(D)
    • Russian
    • p(D), Mat. Sb. 181 (1990), 1558-1572 (Russian). English transi.: Math. USSR Sbornik 71 (1992), 405-418.
    • (1990) Mat. Sb. , vol.181 , pp. 1558-1572
    • Shlyk, V.A.1
  • 29
    • 0039563899 scopus 로고
    • p(D), Mat. Sb. 181 (1990), 1558-1572 (Russian). English transi.: Math. USSR Sbornik 71 (1992), 405-418.
    • (1992) Math. USSR Sbornik , vol.71 , pp. 405-418
  • 31
    • 0002015157 scopus 로고
    • Removable sets for quasiconformal mappings
    • VÄISÄLÄ, J., Removable sets for quasiconformal mappings, J. Math. Mech. 19 (1969/70), 49-51.
    • (1969) J. Math. Mech. , vol.19 , pp. 49-51
    • Väisälä, J.1
  • 32
    • 0002309254 scopus 로고    scopus 로고
    • Removability of sets for quasiconformal mappings and Sobolev spaces
    • WU, J.-M., Removability of sets for quasiconformal mappings and Sobolev spaces, Complex Variables Theory Appl. 37 (1998), 491-506.
    • (1998) Complex Variables Theory Appl. , vol.37 , pp. 491-506
    • Wu, J.-M.1
  • 34
    • 0003320023 scopus 로고
    • Weakly differentiable functions
    • Springer-Verlag, New York
    • ZIEMER, W. P., Weakly Differentiable Functions, Grad. Texts in Math. 120, Springer-Verlag, New York, 1989.
    • (1989) Grad. Texts in Math. , vol.120
    • Ziemer, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.