Boundary behaviour of Sobolev mappings
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Abstract:
Riemann mapping between bounded domains belong to Sobolev space ${W^{1,2}}$. We investigate the boundary behaviour of Sobolev mappings, and hence it applies to conformal and more general quasiconformal mappings. We generalize a theorem of Øksendal.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1145-1148
- MSC: Primary 46E35; Secondary 30D40
- DOI: https://doi.org/10.1090/S0002-9939-1995-1242086-9
- MathSciNet review: 1242086