Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc

DOI10.4171/RMI/1283zbMath1495.37042arXiv2004.09983OpenAlexW3175896358MaRDI QIDQ832457

Davide Cordella, Filippo Bracci, Maria Kourou

Publication date: 25 March 2022

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09983

zbMATH Keywords

dynamical systemshyperbolic geometrysemigroups of holomorphic functions

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)

Related Items (2)

Holomorphic semigroups of finite shift in the unit disc ⋮ On the monotonicity of the speeds for semigroups of holomorphic self-maps of the unit disk

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