Condensers and equivalent open sets on a Riemann surface

DOI10.1007/s10958-017-3511-4zbMath1404.30051OpenAlexW2745222623MaRDI QIDQ1683420

V. A. Shlyk, P. A. Pugach

Publication date: 8 December 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3511-4

zbMATH Keywords

Riemann surfacescondensers

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Riemann surfaces (30F99)

Cites Work

• Sufficiency of broken lines in the modulus method and removable sets
• Some properties of the capacity and module of a polycondenser and removable sets
• Removable singularities and condenser capacities
• A p-extremal length and p-capacity equality
• Null-sets criteria for weighted Sobolev spaces
• Confromal invariants and function-theoretic null-sets
• Circular symmetrization of condensers on Riemann surfaces
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