On growth and covering theorems of quasi-convex mappings in the unit ball of a complex Banach space

被引：0
|
作者：
张文俊
刘太顺
机构：
来源：
Science China Mathematics | 2002年 / 12期
基金：
中国国家自然科学基金;
关键词：
Banach space; quasi-convex mapping; growth theorem; covering theorem;
D O I：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
A class of biholomorphic mappings named "quasi-convex mapping" is introduced in the unit ball of a complex Banach space. It is proved that this class of mappings is a proper subset of the class of starlike mappings and contains the class of convex mappings properly, and it has the same growth and covering theorems as the convex mappings. Furthermore, when the Banach space is confined to Cn, the "quasi-convex mapping" is exactly the "quasi-convex mapping of type A" introduced by K. A. Roper and T. J. Suffridge.
引用
收藏
页码：1538 / 1547
页数：10
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