Spaces of functions of positive smoothness on irregular domains

DOI10.1134/S0081543816040040zbMath1361.46023OpenAlexW2943192537MaRDI QIDQ5891003

O. V. Besov

Publication date: 7 November 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816040040

zbMATH Keywords

Triebel-Lizorkin spacesBesov spacesirregular domains

Mathematics Subject Classification ID

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

Related Items (2)

Embedding of Sobolev spaces with limit exponent revisited ⋮ Embeddings of spaces of functions of positive smoothness on irregular domains

Cites Work

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• 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 fractional smoothness on an irregular domain
• Function spaces of Lizorkin-Triebel type on an irregular domain

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