Boundary behaviour of Sobolev mappings

Hajłasz, Piotr

doi:10.1090/S0002-9939-1995-1242086-9

Boundary behaviour of Sobolev mappings
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Proc. Amer. Math. Soc. 123 (1995), 1145-1148 Request permission

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.

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Lusin’s condition

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and mappings of the class

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