Spaces of functions of fractional smoothness on an irregular domain

DOI10.1134/S0081543810020033zbMath1247.46026MaRDI QIDQ5893943

O. V. Besov

Publication date: 15 November 2010

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

zbMATH Keywords

Sobolev spaceBesov spaceembeddingLebesgue spaceirregular domainTriebel-Lizorkin spaceflexible \(\sigma\)-cone conditionspace of functions of fractional smoothness

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) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (8)

Integral representations and embeddings of spaces of functions of positive smoothness on a Hölder domain ⋮ Embeddings of spaces of functions of positive smoothness on a Hölder domain in Lebesgue spaces ⋮ Spaces of functions of positive smoothness on irregular domains ⋮ Spaces of functions of positive smoothness on irregular domains ⋮ Embedding of Sobolev spaces with limit exponent revisited ⋮ Embeddings of spaces of functions of positive smoothness on irregular domains in Lebesgue spaces ⋮ Embeddings of spaces of functions of positive smoothness on irregular domains ⋮ Embeddings of spaces of functions of positive smoothness on irregular domains

Cites Work

• Sobolev's integral representation and Taylor's formula
• Sobolev inequalities on sets with irregular boundaries
• Spaces of functions of fractional smoothness on an irregular domain.
• Sobolev's embedding theorem for a domain with irregular boundary
• Inequalities for formally positive integro-differential forms
• Function spaces of Lizorkin-Triebel type on an irregular domain
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