Weighted Sobolev spaces, capacities and exceptional sets

DOI10.33048/semi.2020.17.108zbMath1466.46031OpenAlexW3115965934MaRDI QIDQ2212698

Irina Mikhaĭlovna Tarasova, V. A. Shlyk

Publication date: 24 November 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.108

zbMATH Keywords

capacityexceptional setMuckenhoupt weightSoobolev space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (2)

Capacities of generalized condensers with \(A_1\)-Muckenhoupt weight ⋮ On limits at infinity of weighted Sobolev functions

Cites Work

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• Sufficiency of broken lines in the modulus method and removable sets
• Removable singularities and condenser capacities
• Nonlinear potential theory and weighted Sobolev spaces
• Null-sets criteria for weighted Sobolev spaces
• Weighted Norm Inequalities for the Hardy Maximal Function

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