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
收藏
页码：119 / 128
页数：9
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