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
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.