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.
Bracci, F., Cordella, D., Kourou, M. (2022). Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc. REVISTA MATEMATICA IBEROAMERICANA, 38(2), 527-546 [10.4171/RMI/1283].
Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc
Bracci, Filippo;
2022-01-01
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.File in questo prodotto:
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