Spherical derivatives and normal families

被引：2

作者：

Jürgen Grahl

Shahar Nevo

机构：

[1] University of Würzburg,Department of Mathematics

[2] Bar-Ilan University,Department of Mathematics

来源：

Journal d'Analyse Mathématique | 2012年 / 117卷

关键词：

Unit Disk; Meromorphic Function; Normal Family; Rigid Motion; Extremal Function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that a family of functions meromorphic in a plane domain D whose spherical derivatives are uniformly bounded away from zero is normal. Furthermore, we show that for each f meromorphic in the unit disk D, infz∈Df#(z) ≤ 1/2, where f# denotes the spherical derivative of f.

引用

页码：119 / 128

页数：9

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