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arXiv:0806.2430 [math.FA]AbstractReferencesReviewsResources

Sobolev $W^1_p$-spaces on closed subsets of $R^n$

Pavel Shvartsman

Published 2008-06-15Version 1

For each $p>n$ we use local oscillations and doubling measures to give intrinsic characterizations of the restriction of the Sobolev space $W_p^1(R^n)$ to an arbitrary closed subset of $R^n$.

Comments: 94 pages
Categories: math.FA
Subjects: 46E35
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