On Sobolev extension domains in $R^n$

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dc.creatorShvartsman, Pavel
dc.date2009-04-06
dc.date.accessioned2026-07-07T13:00:50Z
dc.date.available2026-07-07T13:00:50Z
dc.descriptionWe describe a class of Sobolev $W^k_p$-extension domains $Ω\subset R^n$ determined by a certain inner subhyperbolic metric in $Ω$. This enables us to characterize finitely connected Sobolev $W^1_p$-extension domains in $R^2$ for each $p>2$.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/0904.0909
dc.identifierhttp://arxiv.org/abs/0904.0909
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225967
dc.subjectFunctional Analysis
dc.subject46E35
dc.titleOn Sobolev extension domains in $R^n$
dc.typetext

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