Embedding of Sobolev spaces with limit exponent revisited

DOI10.1134/S1064562416060260zbMath1371.46026OpenAlexW2569597459MaRDI QIDQ521427

O. V. Besov

Publication date: 11 April 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562416060260

zbMATH Keywords

Sobolev spacesembeddingirregular domainsLizorkin-type spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

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• Embedding of Sobolev space in the case of the limit exponent
• To the Sobolev embedding theorem for the limiting exponent
• Sobolev inequalities on sets with irregular boundaries
• Equivalent norms in spaces of functions of fractional smoothness on an arbitrary domain.
• Embedding of Sobolev spaces and properties of the domain
• Sobolev's embedding theorem for a domain with irregular boundary
• Embedding of a weighted Sobolev space and properties of the domain
• Spaces of functions of positive smoothness on irregular domains
• Spaces of functions of positive smoothness on irregular domains
• Spaces of functions of fractional smoothness on an irregular domain
• Function spaces of Lizorkin-Triebel type on an irregular domain

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