Sobolev Homeomorphisms and Composition Operators

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dc.creatorGol'dshtein, V.
dc.creatorUkhlov, A.
dc.date2009-03-21
dc.date.accessioned2026-07-07T12:55:33Z
dc.date.available2026-07-07T12:55:33Z
dc.descriptionWe study invertibility of bounded composition operators of Sobolev spaces. The problem is closely connected with the theory of mappings of finite distortion. If a homeomorphism $φ$ of Euclidean domains $D$ and $D'$ generates by the composition rule $φ^{\ast}f=f\circφ$ a bounded composition operator of Sobolev spaces $φ^{\ast}: L^1_{\infty}(D')\to L^1_p(D)$, $p>n-1$, has finite distortion and Luzin $N$-property then its inverse $φ^{-1}$ generates the bounded composition operator from $L^1_{p'}(D)$, $p'=p/(p-n+1)$, into $L^1_{1}(D')$.
dc.identifierhttps://arxiv.org/abs/0903.3677
dc.identifierhttp://arxiv.org/abs/0903.3677
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224285
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject30C65; 46E35
dc.titleSobolev Homeomorphisms and Composition Operators
dc.typetext

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