数学物理学报(英文版)

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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

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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
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