Embedding theorems for a weighted Sobolev class in the space \(L_{q,v}\) with weights having a singularity at a point: case \(v\not\in L_{q}^{1}\)

DOI10.1134/S1061920816030092zbMath1367.46032OpenAlexW2517330697MaRDI QIDQ519074

A. A. Vasil'eva

Publication date: 4 April 2017

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920816030092

zbMATH Keywords

embedding theoremsreduced weighted Sobolev classes

Mathematics Subject Classification ID

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

Cites Work

• In between the inequalities of Sobolev and Hardy
• Widths of weighted Sobolev classes on a John domain: strong singularity at a point
• Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set
• Some sufficient conditions for embedding a weighted Sobolev class on a John domain
• Widths of weighted Sobolev classes on a John domain
• Criterion for the existence of a continuous embedding of a weighted Sobolev class on a closed interval and on a semiaxis
• Kolmogorov widths and approximation numbers of Sobolev classes with singular weights
• Widths of Sobolev weight classes on a domain with cusp
• Weighted Norm Inequalities of Hardy Type for a Class of Integral Operators
• On a theorem of functional analysis
• Weighted Hardy inequalities beyond Lipschitz domains
• Integral estimates for differentiable functions on irregular domains
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