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

• 作者: Chaojun WANG Hao LIU Yanyan CUI
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 1271-1288
• 页数: 18页
• 语种: 英文

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.