Equality case for an elliptic area condenser inequality and a related Schwarz type lemma

DOI10.1017/S0013091519000269zbMath1445.30012OpenAlexW2969382732WikidataQ124800870 ScholiaQ124800870MaRDI QIDQ5111606

Georgios Kelgiannis

Publication date: 27 May 2020

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091519000269

zbMATH Keywords

symmetrizationcapacitycondenserconformal mapelliptic area

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) 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 (1)

Geometric versions of Schwarz’s lemma for spherically convex functions

Cites Work

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• On lengths, areas and Lipschitz continuity of polyharmonic mappings
• Condenser capacity and meromorphic functions
• Area inequality and \(Q_{p}\) norm
• Spherical derivative of meromorphic function with image of finite spherical area.
• Inequalities for condensers, hyperbolic capacity, and extremal lengths
• Conformal mapping, convexity and total absolute curvature
• Equality cases for condenser capacity inequalities under symmetrization
• Area, capacity and diameter versions of Schwarz’s Lemma
• Condenser Capacities and Symmetrization in Geometric Function Theory
• Hyperbolic geometric versions of Schwarz’s lemma
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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