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

Pavel Shvartsman

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arXiv · 0806.2430

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

Pavel Shvartsman

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Abstract

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 $R^n$.

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BibTeX RIS

Pavel Shvartsman. 2008-06-15. Sobolev $W^1_p$-spaces on closed subsets of $R^n$. https://arxiv.org/abs/0806.2430

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