On the tangential speed of parabolic semigroups of holomorphic functions,Proceedings of the American Mathematical Society

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On the tangential speed of parabolic semigroups of holomorphic functions
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-12-08 , DOI: 10.1090/proc/15238
Konstantinos Zarvalis

Abstract:We prove that there is a parabolic semigroup $(\phi _t)$ in $\mathbb{D}$ of positive hyperbolic step, such that its tangential speed $\nu ^T(t)$ does not satisfy $\vert\nu ^T(t)-\frac {1}{2}\log t\vert<C, \;\; t\ge 1$ , for any positive constant

. This result answers in the negative a question posed by F. Bracci.

中文翻译：

全纯函数抛物半群的切线速度

摘要：我们证明了有一个抛物线半群 $（\ phi _t）$ 在积极双曲一步，使得其切线速度的不满足，对任何利好不断。这个结果是否定的回答了F. Bracci提出的问题。 $\ mathbb {D}$ $\ nu ^ T（t）$ $$ \ vert \ nu ^ T（t）-\ frac {1} {2} \ log t \ vert <C，\; \; 每吨1美元$

更新日期：2021-01-11

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