Embedding of Sobolev spaces and properties of the domain

DOI10.1134/S0001434614090041zbMath1327.46034MaRDI QIDQ2342374

O. V. Besov

Publication date: 11 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceSobolev embedding theoremHölder's inequalityMarcinkiewicz interpolation theoremdomain with flexible \(\sigma\)-cone condition

Mathematics Subject Classification ID

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

Related Items (14)

On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions ⋮ Another note on the embedding of the Sobolev space for the limiting exponent ⋮ Embeddings for weighted spaces of functions of positive smoothness on irregular domains into Lebesgue spaces ⋮ 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 ⋮ 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 ⋮ Embeddings of weighted spaces of functions of positive smoothness on irregular domains in Lebesgue space ⋮ Embedding of a weighted Sobolev space and properties of the domain ⋮ 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

• Continuity of embeddings of weighted Sobolev spaces in Lebesgue spaces on anisotropically irregular domains
• Sobolev embedding theorems for a class of irregular anisotropic domains
• Sobolev inequalities on sets with irregular boundaries
• Sobolev's embedding theorem for a domain with irregular boundary
• Imbedding theorems for Sobolev spaces on domains with peak and on Hölder domains
• Integral estimates for differentiable functions on irregular domains
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