Semigroups versus evolution families in the loewner theory

被引：0
作者：
Filippo Bracci
Manuel D. Contreras
Santiago Díaz-Madrigal
机构：
[1] Università Di Roma “tor Vergata”,Dipartimento Di Matematica
[2] Universidad de Sevilla,Camino de los Descubrimientos, S/N Departamento de Matemática Aplicada II Escuela Técnica Superior de Ingeniería
来源：
Journal d'Analyse Mathématique | 2011年 / 115卷
关键词：
Unit Disc; Evolution Family; Loewner Chain; Angular Limit; Loewner Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that an evolution family of the unit disc is commuting if and only if the associated Herglotz vector field has separated variables. This is the case if and only if the evolution family comes from a semigroup of holomorphic self-maps of the disc.
引用
收藏
页码：273 / 292
页数：19
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