Optimality of function spaces in Sobolev embeddings

DOI10.1142/9789814699693_0003zbMath1362.46040OpenAlexW4244493817MaRDI QIDQ2832867

Luboš Pick

Publication date: 15 November 2016

Published in: Advanced Courses of Mathematical Analysis V (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789814699693_0003

zbMATH Keywords

Sobolev spacesrearrangement-invariant spacestracesfundamental functionsoptimal domainoptimal rangeisoperimetric functionGaussian embeddingsreduction theorems: compact embeddings

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01)

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