Elliptic, hyperbolic, and condenser capacity: geometric estimates for elliptic capacity

DOI10.1007/BF02787824zbMath1091.30021MaRDI QIDQ816472

Dimitrios Betsakos

Publication date: 9 March 2006

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

extremal lengthhyperbolic capacityelliptic 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

Condenser energy under holomorphic motions ⋮ Growth and monotonicity properties for elliptically schlicht functions ⋮ HOLOMORPHIC FUNCTIONS WITH IMAGE OF GIVEN LOGARITHMIC OR ELLIPTIC CAPACITY ⋮ Conformal capacity of hedgehogs

Cites Work

• Étude et extensions du principe de Dirichlet
• Elliptic capacity and its distortion under conformal mapping
• On the equilibrium measure and the capacity of certain condensers
• Hyperbolic capacity and its distortion under conformal mapping
• Symmetrization in the geometric theory of functions of a complex variable
• Transfiniter Durchmesser, Kapazität und Tschebyschewsche Konstante in der euklidischen, hyperbolischen und elliptischen Geometrie.
• Properties of Conformal Invariants
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