THE EXTENSION OPERATORS ON Bn+1 AND BOUNDED COMPLETE REINHARDT DOMAINS  

作　　者：Yanyan CUI Chaojun WANG Hao LIU 崔艳艳;王朝君;刘浩(College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,China;Institute of Contemporary Mathematics,Henan University,Kaifeng 475001,China)

机构地区：[1]College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,China [2]Institute of Contemporary Mathematics,Henan University,Kaifeng 475001,China

出　　处：《Acta Mathematica Scientia》2020年第5期1271-1288,共18页数学物理学报（B辑英文版）

基　　金：supported by NSF of China(11271359,11471098);Science and Technology Research Projects of Henan Provincial Education Department(19B110016);Scientific Research Innovation Fund Project of Zhoukou Normal University(ZKNUA201805);Scientific Research Fund of High Level Talents of Zhoukou Normal University(ZKNUC2019004).

摘　　要：In this article, we extend the well-known Roper-Suffridge operator on Bn+1 and bounded complete Reinhardt domains in Cn+1, then we investigate the properties of the generalized operators. Applying the Loewner theory, we obtain the mappings constructed by the generalized operators that have parametric representation on Bn+1. In addition, by using the geometric characteristics and the parametric representation of subclasses of spirallike mappings, we conclude that the extended operators preserve the geometric properties of several subclasses of spirallike mappings on Bn+1 and bounded complete Reinhardt domains in Cn+1. The conclusions provide new approaches to construct mappings with special geometric properties in Cn+1.

关 键 词：Roper-Suffridge operator Reinhardt domains spirallike mappings 

分 类 号：O177[理学—数学]