论文标题

单位光盘全体形态自图的正交速度和收敛速率的渐近单调性

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

论文作者

Bracci, Flippo, Cordella, Davide, Kourou, Maria

论文摘要

我们表明,在大多数情况下,单位光盘的全体形态自图的半群的正交速度在渐近上是单调的。这样的定理允许概括一下Betsakos和D. betsakos,M。D。Contreras和S.díaz-Madrigal的先前结果,并获得新的估计半群落轨道收敛速度的估计。

We show that the orthogonal speed of semigroups of holomorphic self-maps 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.

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