On a relation between harmonic measure and hyperbolic distance on planar domains

DOI10.1512/iumj.2020.69.8002zbMath1482.30110arXiv1908.11830OpenAlexW3082619151MaRDI QIDQ3387521

Christina Karafyllia

Publication date: 13 January 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11830

zbMATH Keywords

Hardy spaceconformal mappinghyperbolic distanceharmonic measuredomain decomposition methodextremal length

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) 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 (4)

Geometric characterizations for conformal mappings in weighted Bergman spaces ⋮ Extremal distance and conformal mappings in Hardy and Bergman spaces ⋮ Hyperbolic distance and membership of conformal maps in the Hardy space ⋮ On a Property of Harmonic Measure on Simply Connected Domains

This page was built for publication: On a relation between harmonic measure and hyperbolic distance on planar domains