Criteria for optimal global integrability of Hajłasz-Sobolev functions

zbMath1282.46036arXiv1004.5304MaRDI QIDQ351826

Yuan Zhou

Publication date: 10 July 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.5304

zbMATH Keywords

John domainSobolev-Poincaré inequalityHajłasz-Sobolev spacelinearly locally connected domainSobolev extension domain

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (5)

Fractional Orlicz-Sobolev extension/imbedding on Ahlfors \(n\)-regular domains ⋮ An Orlicz-Besov Poincaré inequality via John domains ⋮ On improved fractional Sobolev-Poincaré inequalities ⋮ A fractional Orlicz-Sobolev Poincaré inequality in John domains ⋮ Fractional Sobolev extension and imbedding

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