Hyperbolic metric and membership of conformal maps in the Bergman space

DOI10.4153/S000843952000034XzbMath1473.30032OpenAlexW3021076572MaRDI QIDQ5858667

Nikolaos Karamanlis, Christina Karafyllia, Dimitrios Betsakos

Publication date: 14 April 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s000843952000034x

zbMATH Keywords

Bergman space, hyperbolic distance, Green function, conformal mapping

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Bergman spaces and Fock spaces (30H20)

Related Items (2)

Geometric characterizations for conformal mappings in weighted Bergman spaces ⋮ Extremal distance and conformal mappings in Hardy and Bergman spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Univalent functions in Hardy, Bergman, Bloch and related spaces
• Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation
• Univalent functions, Hardy spaces and spaces of Dirichlet type
• Translating Inequalities between Hardy and Bergman Spaces
• Composition operators between Bergman and Hardy spaces
• Hardy spaces and twisted sectors for geometric models
• Conformal Metrics
• Hyperbolic distance and membership of conformal maps in the Hardy space

This page was built for publication: Hyperbolic metric and membership of conformal maps in the Bergman space