On Sobolev extension domains in $R^n$

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Shvartsman, Pavel
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Abstract
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We describe a class of Sobolev $W^k_p$-extension domains $\Omega\subset R^n$ determined by a certain inner subhyperbolic metric in $\Omega$. This enables us to characterize finitely connected Sobolev $W^1_p$-extension domains in $R^2$ for each $p>2$.
Comment: 37 pages
Keywords
Mathematics - Functional Analysis, 46E35
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