Intrinsic geometry and boundary structure of plane domains

DOI10.1134/S0037446621040121zbMath1476.30107arXiv2008.03457OpenAlexW3188604431MaRDI QIDQ820471

Matti Vuorinen, Oona Rainio, Toshiyuki Sugawa

Publication date: 27 September 2021

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

Full work available at URL: https://arxiv.org/abs/2008.03457

zbMATH Keywords

hyperbolic metricuniformly perfect setcondenser capacity

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Capacity and harmonic measure in the complex plane (30C85)

Related Items (1)

Intrinsic metrics in ring domains

Cites Work

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• Hyperbolic geometry in k-convex regions
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• Quasi-invariant domain constants
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• Hereditarily non uniformly perfect sets
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• Some inequalities for the Poincaré metric of plane domains
• Quasimöbius maps, weakly quasimöbius maps and uniform perfectness in quasi-metric spaces
• Various domain constants related to uniform perfectness
• ON UNIFORMLY PERFECT SETS AND FUCHSIAN CROUPS
• A Characterisation of Convex Domains in the Plane
• The Poincaré Metric of Plane Domains
• Conformally Invariant Metrics and Quasiconformal Mappings
• Schwarz-Pick Type Inequalities

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