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arXiv:1003.1697 [math.FA]AbstractReferencesReviewsResources

On the boundary values of Sobolev $W^1_p$-functions

Pavel Shvartsman

Published 2010-03-08Version 1

For each $p>n$ we use local oscillations to give intrinsic characterizations of the trace of the Sobolev space $W^1_p(\Omega)$ to the boundary of an arbitrary domain $\Omega\subset R^n$.

Comments: 55 pages, 6 figures
Categories: math.FA
Subjects: 46E35
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