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

Let Ω be a bounded balanced pseudoconvex domain in C^n that admits a plurisubhamonic defining function of class C^2. The authors prove that if f is a spiral-like mapping of type a on Ω, then f can be expressed as a limiting form concerning a Schwarz mapping. Moreover, the characteristics for star-li...

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Bibliographic Details
Published inActa Mathematica Scientia Vol. 26; no. 3; pp. 421 - 430
Main Author 刘浩 张志平 卢克平
Format Journal Article
LanguageEnglish
Published 01.07.2006
Subjects
参变量表征
晶体学
生长理论
螺旋映射
growth theorem
Spiral-like mappings
parametric representation
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ISSN0252-9602
1572-9087
1003-3998
DOI10.1016/S0252-9602(06)60066-0

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Summary:Let Ω be a bounded balanced pseudoconvex domain in C^n that admits a plurisubhamonic defining function of class C^2. The authors prove that if f is a spiral-like mapping of type a on Ω, 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.
Bibliography:O7
Spiral-like mappings, parametric representation, growth theorem
42-1227/O
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0252-9602
1572-9087
1003-3998
DOI:10.1016/S0252-9602(06)60066-0