数学物理学报(英文版)

• 论文 • 上一篇    下一篇

THE PARAMETRIC REPRESENTATION FOR SPIRAL-LIKE MAPPINGS OF TYPE α ON BOUNDED BALANCED PSEUDOCONVEX DOMAINS

刘浩; 张志平; 卢克平   

  1. 河南大学数学与信息学院, 开封 475001
  • 收稿日期:2004-02-23 修回日期:2005-08-10 出版日期:2006-07-20 发布日期:2006-07-20
  • 通讯作者: 刘浩
  • 基金资助:

    Research supported by the NSFC(10571044)

THE PARAMETRIC REPRESENTATION FOR SPIRAL-LIKE MAPPINGS OF TYPE α ON BOUNDED BALANCED PSEUDOCONVEX DOMAINS

Liu Hao; Zhang Zhiping; Lu Keping   

  1. Institute of Mathematics and information science, Henan University, Kaifeng 475001, China
  • Received:2004-02-23 Revised:2005-08-10 Online:2006-07-20 Published:2006-07-20
  • Contact: Liu Hao

PDF (PC)

1226

摘要：

Let $om$ be a bounded balanced pseudoconvex domain in Cn that admits a plurisubhamonic defining function of class C2. The authors prove that if f is a spiral-like mapping of type α on $om$, then f can be expressed as a limiting form concerning a Schwarz mapping. Moreover, the characteristics for star-like mappings and spiral-like mappings of type α are obtained. As a direct application, the growth theorem for spiral-like mappings of type α is set up.

关键词: Spiral-like mappings, parametric representation, growth theorem

Abstract:

Let $om$ be a bounded balanced pseudoconvex domain in Cn that admits a plurisubhamonic defining function of class C2. The authors prove that if f is a spiral-like mapping of type α on $om$, then f can be expressed as a limiting form concerning a Schwarz mapping. Moreover, the characteristics for star-like mappings and spiral-like mappings of type α are obtained. As a direct application, the growth theorem for spiral-like mappings of type α is set up.

Key words: Spiral-like mappings, parametric representation, growth theorem

中图分类号: 

  • 32A30
版权所有 © 《数学物理学报(英文版)》杂志社
地址：武汉市71010号信箱(430071)　电话: 027-87199206(中文版)　027-87199087(英文版)
E-mail: actams@apm.ac.cn
本系统由北京玛格泰克科技发展有限公司设计开发