Integral representation of functions an embeddings of Sobolev spaces on cuspidal domains

DOI10.1007/BF02355726zbMath0912.46036OpenAlexW2087968352MaRDI QIDQ1274039

Denis A. Labutin

Publication date: 26 May 1999

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

Full work available at URL: https://doi.org/10.1007/bf02355726

zbMATH Keywords

Sobolev spacesembedding theoremsintegral representationsintegral operatorsRiesz potentialscone conditionscuspidal domains

Mathematics Subject Classification ID

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

Related Items

Continuity of embeddings of weighted Sobolev spaces in Lebesgue spaces on anisotropically irregular domains ⋮ Sobolev embedding theorems for a class of anisotropic irregular domains ⋮ Imbedding theorems for Sobolev spaces on domains with peak and on Hölder domains ⋮ Estimates for \(L_p\) modules of continuity on domains with an irregular boundary and embedding theorems ⋮ Unnamed Item ⋮ Sobolev inequalities on sets with irregular boundaries

Cites Work

• Cone conditions and properties of Sobolev spaces
• Les espaces du type de Beppo Levi
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