Integral representations and embeddings of spaces of functions of positive smoothness on a Hölder domain

DOI10.1134/s0081543823050036OpenAlexW4392843600MaRDI QIDQ6150973

O. V. Besov

Publication date: 7 March 2024

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

Full work available at URL: https://doi.org/10.1134/s0081543823050036

zbMATH Keywords

Sobolev spaceembeddingHölder domainspaces of functions of positive smoothness

Mathematics Subject Classification ID

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

Cites Work

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• Sobolev inequalities on sets with irregular boundaries
• Embedding of Sobolev spaces and properties of the domain
• Embeddings of spaces of functions of positive smoothness on a Hölder domain in Lebesgue spaces
• Sobolev's embedding theorem for a domain with irregular boundary
• Imbedding theorems for Sobolev spaces on domains with peak and on Hölder domains
• Spaces of functions of fractional smoothness on an irregular domain