PROPERTIES OF THE MODIFIED ROPER-SUFFRIDGE EXTENSION OPERATORS ON REINHARDT DOMAINS

In this paper, we mainly discuss the properties of the modified Roper-Suffridge operators on Reinhardt domains. By the analytical characteristics and distortion results of subclasses of biholomorphic mappings, we conclude that the modified Roper-Suffridge operators preserve the properties of SΩ （β,...

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Bibliographic Details
Published in:Acta mathematica scientia 2016-11, Vol.36 (6), p.1767-1779
Main Author: 王朝君 崔艳艳 刘浩
Format: Article
Language:English
Subjects:
30C25
32A30
Roper-Suffridge operator
spirallike mappings
starlike mappings
修改
几何性质
双全纯映射
变形特征
哈特
星形映照
算子
解析结果
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Summary:In this paper, we mainly discuss the properties of the modified Roper-Suffridge operators on Reinhardt domains. By the analytical characteristics and distortion results of subclasses of biholomorphic mappings, we conclude that the modified Roper-Suffridge operators preserve the properties of SΩ （β, A, B）, almost starlike mapping of complex order A on Ωn,p2……pn. Sequentially, we get that the modified Roper-Suffridge operators preserve spirallikeness of type β and order a, strongly pirallikeness of type β and order a, almost starlikeness of order a on Ωn,p2……pn The conclusions provide a new approach to construct these biholomorphic mappings which have special geometric properties in several complex variables.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30104-7