On a subclass of quasi-convex mappings

被引：1
|
作者：
Xu, Qing-Hua [1 ]
Liu, Tai-Shun [2 ]
机构：
[1] JiangXi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R China
[2] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 422卷 / 01期
关键词：
Biholomorphic mapping; Locally biholomorphic mapping; Quasi-convex mappings; Convex mappings; Growth theorem; HOLOMORPHIC MAPPINGS;
D O I：
10.1016/j.jmaa.2014.08.059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of biholomorphic mappings named "quasi-convex mappings of type D" is introduced in the unit ball of a complex Banach space, which is the natural generalization of the convex functions in one variable. It is proved that this class of mappings is a subset of the class of "quasi-convex mappings of type A" introduced by K.A. Roper and T.J. Suffridge. Crown Copyright (C) 2014 Published by Elsevier Inc. All rights reserved.
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页码：496 / 507
页数：12
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