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

doi:10.1016/S0252-9602(16)30104-7

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (6): 1767-1779.doi: 10.1016/S0252-9602(16)30104-7

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

王朝君¹, 崔艳艳¹, 刘浩²

1. College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China;
2. College of Mathematics and Statistics, Henan University, Kaifeng 475001, China

收稿日期:2015-05-08 修回日期:2016-04-06 出版日期:2016-12-25 发布日期:2016-12-25
通讯作者: Hao LIU,E-mail:haoliu@henu.edu.cn E-mail:haoliu@henu.edu.cn
作者简介:Chaojun WANG,E-mail:wang9907081@163.com;Yanyan CUI,E-mail:cui9907081@163.com
基金资助:
This work was supported by NSFC (11271359, U1204618), Science and Technology Research Projects of Henan Provincial Education Department (14B110015, 14B110016), Youth Fund Projects of Zhoukou Normal University (zknuB3201608).

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

Chaojun WANG¹, Yanyan CUI¹, Hao LIU²

1. College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China;
2. College of Mathematics and Statistics, Henan University, Kaifeng 475001, China

Received:2015-05-08 Revised:2016-04-06 Online:2016-12-25 Published:2016-12-25
Contact: Hao LIU,E-mail:haoliu@henu.edu.cn E-mail:haoliu@henu.edu.cn
Supported by:
This work was supported by NSFC (11271359, U1204618), Science and Technology Research Projects of Henan Provincial Education Department (14B110015, 14B110016), Youth Fund Projects of Zhoukou Normal University (zknuB3201608).

摘要/Abstract

摘要：

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 S_Ω^*(β, A, B), almost starlike mapping of complex order λ on Ω_{n,p₂,…,p_n}. Sequentially, we get that the modified Roper-Suffridge operators preserve spirallikeness of type β and order α, strongly pirallikeness of type β and order α, almost starlikeness of order α on Ω_{n,p₂,…,p_n}. The conclusions provide a new approach to construct these biholomorphic mappings which have special geometric properties in several complex variables.

关键词: Roper-Suffridge operator, spirallike mappings, starlike mappings

Abstract:

Key words: Roper-Suffridge operator, spirallike mappings, starlike mappings

中图分类号:

32A30

王朝君, 崔艳艳, 刘浩. PROPERTIES OF THE MODIFIED ROPER-SUFFRIDGE EXTENSION OPERATORS ON REINHARDT DOMAINS[J]. 数学物理学报(英文版), 2016, 36(6): 1767-1779.

Chaojun WANG, Yanyan CUI, Hao LIU. PROPERTIES OF THE MODIFIED ROPER-SUFFRIDGE EXTENSION OPERATORS ON REINHARDT DOMAINS[J]. Acta mathematica scientia,Series B, 2016, 36(6): 1767-1779.

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

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

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