Some sufficient conditions for embedding a weighted Sobolev class on a John domain

DOI10.1134/S003744661501005XzbMath1339.46039OpenAlexW1967739059MaRDI QIDQ2352662

A. A. Vasil'eva

Publication date: 3 July 2015

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

Full work available at URL: https://doi.org/10.1134/s003744661501005x

zbMATH Keywords

weighted Sobolev spaceembedding theoremtrees\(h\)-sets

Mathematics Subject Classification ID

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

Related Items

Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases, Entropy numbers of embedding operators of function spaces on sets with tree-like structure, Embedding theorems for a weighted Sobolev class in the space \(L_{q,v}\) with weights having a singularity at a point: case \(v\not\in L_{q}^{1}\), Entropy numbers of embeddings of function spaces on sets with tree-like structure: some generalized limiting cases, Diameters of Sobolev weight classes with a ``small set of singularities for weights, Widths of weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set: some limit cases

Cites Work

• Integral representations of differentiable functions in domains with nonsmooth boundary
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• Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set
• Widths of weighted Sobolev classes on a John domain
• Weighted Norm Inequalities for Certain Integral Operators
• Weighted Norm Inequalities for Certain Integral Operators. II
• SOME ELEMENTARY INEQUALITIES, III
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• Weighted Hardy and Poincaré Inequalities on Trees
• Estimates for norms of two‐weighted summation operators on a tree under some restrictions on weights
• Integral estimates for differentiable functions on irregular domains
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