Acta mathematica scientia, Series B >
THE PARAMETRIC REPRESENTATION FOR SPIRAL-LIKE MAPPINGS OF TYPE α ON BOUNDED BALANCED PSEUDOCONVEX DOMAINS
Received date: 2004-02-23
Revised date: 2005-08-10
Online published: 2006-07-20
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
Liu Hao , Zhang Zhiping , Lu Keping . THE PARAMETRIC REPRESENTATION FOR SPIRAL-LIKE MAPPINGS OF TYPE α ON BOUNDED BALANCED PSEUDOCONVEX DOMAINS[J]. Acta mathematica scientia, Series B, 2006 , 26(3) : 421 -430 . DOI: 10.1016/S0252-9602(06)60066-0
/
| 〈 |
|
〉 |