Sufficiency of broken lines in the modulus method and removable sets

DOI10.1007/s11202-010-0101-9zbMath1221.30056OpenAlexW2061150459MaRDI QIDQ542182

V. A. Shlyk, Yuriĭ Viktorovich Dymchenko

Publication date: 8 June 2011

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

Full work available at URL: https://doi.org/10.1007/s11202-010-0101-9

zbMATH Keywords

Muckenhoupt weightcondenser capacitymodulus of a family of curves

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (9)

On a problem of Dubinin for the capacity of a condenser with a finite number of plates ⋮ Removable sets for Sobolev spaces with Muckenhoupt \(A_1\)-weight ⋮ Spherical symmetrization and NED-sets on a hyperplane ⋮ Condensers and equivalent open sets on a Riemann surface ⋮ Modules of space configurations and removable sets ⋮ Weighted Sobolev spaces, capacities and exceptional sets ⋮ Removable sets for the generalized module of a surface family ⋮ Piecewise linear approximation and polyhedral surfaces ⋮ Configuration module and removable sets

Cites Work

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• Removable singularities and condenser capacities
• A p-extremal length and p-capacity equality
• Criteria for the removability of sets in spaces of \(L^1_p\) quasiconformal and quasi-isometric mappings
• Null-sets criteria for weighted Sobolev spaces
• Lectures on \(n\)-dimensional quasiconformal mappings
• Confromal invariants and function-theoretic null-sets
• Condenser capacities and removable sets in W^1,p
• Weighted Norm Inequalities for the Hardy Maximal Function

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