Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc
Filippo Bracci
Università di Roma Tor Vergata, ItalyDavide Cordella
Università di Roma Tor Vergata, ItalyMaria Kourou
Aristotle University of Thessaloniki, Greece
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Abstract
We show that the orthogonal speed of semigroups of holomorphic selfmaps of the unit disc is asymptotically monotone in most cases. Such a theorem allows to generalize previous results of D. Betsakos and D. Betsakos, M. D. Contreras and S. Díaz-Madrigal and to obtain new estimates for the rate of convergence of orbits of semigroups.
Cite this article
Filippo Bracci, Davide Cordella, Maria Kourou, Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc. Rev. Mat. Iberoam. 38 (2022), no. 2, pp. 527–546
DOI 10.4171/RMI/1283