Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 32A30
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