On the rate of convergence of parabolic semigroups of holomorphic functions

DOI10.1007/s13324-014-0095-8zbMath1327.30026OpenAlexW2006280225MaRDI QIDQ888251

Dimitrios Betsakos

Publication date: 30 October 2015

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-014-0095-8

zbMATH Keywords

harmonic measureDenjoy-Wolff pointsemigroup 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

Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc ⋮ On the rate of convergence of semigroups of holomorphic functions at the Denjoy-Wolff point ⋮ Speeds of convergence of orbits of non-elliptic semigroups of holomorphic self-maps of the unit disk ⋮ Asymptotic upper bound for tangential speed of parabolic semigroups of holomorphic self-maps in the unit disc

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