On the rate of convergence of hyperbolic semigroups of holomorphic functions

DOI10.1112/BLMS/BDV022zbMath1321.30016OpenAlexW2137524942MaRDI QIDQ5255540

Dimitrios Betsakos

Publication date: 15 June 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdv022

zbMATH Keywords

Denjoy-Wolff pointhyperbolic semigroup of holomorphic functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)

Related Items (3)

Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc ⋮ Unnamed Item ⋮ On the eigenvalues of the infinitesimal generator of a semigroup of composition operators

Cites Work

• Convergence characteristics of one-parameter continuous semigroups
• Boundary behavior and rigidity of semigroups of holomorphic mappings
• Linearization models for complex dynamical systems. Topics in univalent functions, functional equations and semigroup theory.
• Semigroups of analytic functions and composition operators
• Composition operators and classical function theory
• Analytic flows on the unit disk: angular derivatives and boundary fixed points
• Kœnigs-type linearization models and asymptotic behavior of one-parameter semigroups
• Semigroups of analytic functions in analysis and applications
• The Schwarz Lemma: Rigidity and Dynamics
• On boundary critical points for semigroups of analytic functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the rate of convergence of hyperbolic semigroups of holomorphic functions