Some properties of the reduced inner modulus

DOI10.1007/BF02106612zbMath0858.31004OpenAlexW1978476236MaRDI QIDQ1920793

V. N. Dubinin

Publication date: 14 August 1996

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

Full work available at URL: https://doi.org/10.1007/bf02106612

zbMATH Keywords

asymptotic behaviourcapacitorreduced inner modulus

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Covering theorems in conformal mapping theory (30C25)

Related Items

On the conformal capacity of a spatial condenser with spherical plates ⋮ Method of interior variations and existence of \(S\)-compact sets ⋮ On the reduced modulus of the complex sphere ⋮ Extremal length decomposition and domain constants for finitely connected domains ⋮ Extremal function for capacity and estimates of QED constants in \(\mathbb{R}^n\) ⋮ Asymptotics of the module of a degenerating condenser and some of their applications ⋮ A majorization principle for \(p\)-valent functions

Cites Work

• Some uniqueness results in the theorie of symmetrization. II
• Symmetrization and the Poincaré metric
• An inequality for logarithmic capacities
• Slowly growing integral and subharmonic functions
• Confromal invariants and function-theoretic null-sets
• Zur konformen Abbildung schlichter Gebiete
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