AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION

doi:10.1016/S0252-9602(09)60021-7

数学物理学报(英文版)

AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION

刘小松；刘太顺

School of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang 524048, China

收稿日期:2006-09-11 修回日期:1900-01-01 出版日期:2009-02-20 发布日期:2009-02-20
通讯作者: 刘小松
基金资助:
Sponsored by National Natural Science Foundation of China under grant No.10571164, Specialized Research Fund for the Doctoral Program of Higher Education under grant No.20050358052 and Guangdong Natural Science Foundation under grant No.06301315.

AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION

Liu Xiaosong; Liu Taishun

School of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang 524048, China

Received:2006-09-11 Revised:1900-01-01 Online:2009-02-20 Published:2009-02-20
Contact: Liu Xiaosong

摘要/Abstract

摘要：

In this article, the authors obtain an inequality of homogeneous expansion
for f, where f is a quasi-convex mapping (including quasi-convex mapping of type A and quasi-convex mapping of type B) defined on the open unit polydisk in Cⁿ. Meanwhile, the authors also investigate its application.

关键词: Biholomorphic mapping, quasi-convex mapping, inequality of homogeneous
expansion

Abstract:

Key words: Biholomorphic mapping, quasi-convex mapping, inequality of homogeneous
expansion

中图分类号:

32A30

刘小松;刘太顺. AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION[J]. 数学物理学报(英文版), 2009, 29(1): 201-209.

Liu Xiaosong; Liu Taishun. AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION[J]. Acta mathematica scientia,Series B, 2009, 29(1): 201-209.

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AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION

AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION

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