Removable sets for Sobolev spaces with Muckenhoupt \(A_1\)-weight

DOI10.33048/semi.2021.18.012zbMath1473.46044OpenAlexW3201146311MaRDI QIDQ2662823

V. A. Shlyk

Publication date: 15 April 2021

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

Full work available at URL: https://doi.org/10.33048/semi.2021.18.012

zbMATH Keywords

Sobolev spacecapacityMuckenhoupt weightremovable setmodulus of condenser

Mathematics Subject Classification ID

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

Cites Work

• Sufficiency of broken lines in the modulus method and removable sets
• A p-extremal length and p-capacity equality
• Nonlinear potential theory and weighted Sobolev spaces
• Geometric measure theory.
• Lectures on \(n\)-dimensional quasiconformal mappings
• Confromal invariants and function-theoretic null-sets
• Weighted Norm Inequalities for the Hardy Maximal Function
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