Some sufficient conditions for biholomorphic convex mappings on Bpn

被引：7

作者：

Liu, MS ^{[1
]}

Zhu, YC

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Fuzhou Univ, Dept Math, Fujian 350002, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 316卷 / 01期

基金：

中国国家自然科学基金;

关键词：

locally biholomorphic mapping; biholomorphic convex mapping; Reinhardt domain;

D O I：

10.1016/j.jmaa.2005.04.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A few biholomorphic convex mappings on the unit ball in C-n for n > 1 are known. In this paper, we shall prove some sufficient conditions for biholomorphic convex mappings on Reinhardt domain B-p(n) in C-n. Some results of Roper and Suffridge, Hamada and Kohr on B-2(n) are extended to B-p(n). From these, we may construct some concrete biholomorphic convex mappings on B-p(n). (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：210 / 228

页数：19

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