Elliptic capacity and its distortion under conformal mapping

DOI10.1007/BF02893086zbMath1026.30023OpenAlexW1976382072MaRDI QIDQ1411302

Reiner Kühnau, Peter Duren

Publication date: 27 October 2003

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

Full work available at URL: https://doi.org/10.1007/bf02893086

zbMATH Keywords

conformal mappingelliptic capacityextremal distanceelliptic Neumann kernelelliptic Robin capacity

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) 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)

Estimates on kernel functions of elliptically schlicht domains ⋮ Computation of conformal invariants ⋮ Variation of diametrically symmetric or elliptically schlicht conformal mappings ⋮ The Robin function and conformal welding -- a new proof of the existence ⋮ Robin functions and distortion theorems for regular mappings ⋮ Growth and monotonicity properties for elliptically schlicht functions ⋮ HOLOMORPHIC FUNCTIONS WITH IMAGE OF GIVEN LOGARITHMIC OR ELLIPTIC CAPACITY ⋮ Elliptic, hyperbolic, and condenser capacity: geometric estimates for elliptic capacity

Cites Work

• A variational method for functions schlicht in an annulus
• Robin capacity and extremal length
• Variation of diametrically symmetric or elliptically schlicht conformal mappings
• Distortion of the hyperbolic Robin capacity under a conformal mapping and extremal configurations
• Hyperbolic capacity and its distortion under conformal mapping
• Bridged extremal distance and maximal capacity
• Extremal domains for robin capacity
• Robin functions and distortion of capacity under conformal mapping
• Upper Bound for Distortion of Capacity Under Conformal Mapping
• Transfiniter Durchmesser, Kapazität und Tschebyschewsche Konstante in der euklidischen, hyperbolischen und elliptischen Geometrie.
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