论文标题

渐近上限,用于单位光盘中全态自图的抛物线半群的切向速度

Asymptotic upper bound for tangential speed of parabolic semigroups of holomorphic self-maps in the unit disc

论文作者

Cordella, Davide

论文摘要

我们表明,单位光盘中全态自图的抛物线半群的切向速度渐近地从上方界定了(1/2)logt,证明了Bracci的猜想。为了证明证明,我们需要对切向速度的“渐近单调性”的结果,以使其具有正双曲线步骤的抛物线分型群的适当对。

We show that the tangential speed of a parabolic semigroup of holomorphic self-maps in the unit disc is asymptotically bounded from above by (1/2)logt, proving a conjecture by Bracci. In order to show the proof we need a result of "asymptotical monotonicity" of the tangential speed for proper pairs of parabolic semigroups with positive hyperbolic step.

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