Generalized condensers and the asymptotics of their capacities under degeneration of some plates

DOI10.1007/s10958-005-0319-4zbMath1241.31003OpenAlexW2044245776MaRDI QIDQ937867

V. N. Dubinin

Publication date: 18 August 2008

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

Full work available at URL: https://doi.org/10.1007/s10958-005-0319-4

zbMATH Keywords

coformal capacity

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)

Related Items (8)

Condenser energy under holomorphic motions ⋮ Distortion theorems for univalent meromorphic functions on an annulus ⋮ On the asymptotic behavior of condenser capacity under Blaschke products and universal covering maps ⋮ On composition principles for reduced moduli ⋮ On the reduced modulus of the complex sphere ⋮ On variational principles of conformal mappings ⋮ Robin functions and distortion theorems for regular mappings ⋮ Condenser capacity, exponential Blaschke products and universal covering maps

Cites Work

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• On the computation of modules of long quadrilaterals
• On the reflection principle and some elementary ratios of conformal radii
• Invariant spaces and traces of holomorphic functions on the skeletons of classical domains
• Reduced moduli of open sets in the theory of analytic functions
• Asymptotics of the module of a degenerating condenser and some of their applications
• Confromal invariants and function-theoretic null-sets
• Symmetrization in the geometric theory of functions of a complex variable
• The reduced module of the complex sphere

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