Compactness of higher-order Sobolev embeddings

DOI10.5565/PUBLMAT_59215_06zbMath1345.46032arXiv1311.0155OpenAlexW2592684368MaRDI QIDQ2515548

Lenka Slavíková

Publication date: 5 August 2015

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0155

zbMATH Keywords

Sobolev spaceintegral operatorcompactnessrearrangement-invariant spaceJohn domainisoperimetric functionalmost-compact embeddinghigher-order compact Sobolev embeddingsMaz'ya domainproduct probability space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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