Extension Operators Preserving Biholomorphic Mappings on Hartogs Domains

作     者：Yanyan CUI Heju YANG Yuying QIAO Yanyan CUI;Heju YANG;Yuying QIAO

作者机构：College of Mathematics and StatisticsZhoukou Normal UniversityZhoukou 466001HenanChina College of ScienceHebei University of Science and TechnologyShijiazhuang 050024China College of Mathematics and Information ScienceHebei Normal UniversityShijiazhuang 050024China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2023年第44卷第2期

页      面：307-324页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(No.11871191) the Natural Science Foundation of Henan Province(No.222300420397) the Key Program of Hebei Normal University(No.L2018Z01) the Scientific Research Fund of High Level Talents of Zhoukou Normal University(No.ZKNUC2019004)。 

主　　题：Roper-Suffridge operator Spirallike mappings Starlike mappings 

摘      要：In this paper,the authors extend the Roper-Suffridge operator on the generalized Hartogs domains.They mainly research the properties of the extended operator.By the characteristics of Hartogs domains and the geometric properties of subclasses of spirallike mappings,they obtain the extended Roper-Suffridge operator preserving almost starlikeness of complex orderλ,almost spirallikeness of typeβand orderα,parabolic spirallikeness of typeβand orderρon the Hartogs domains in different conditions.They conclude that the corresponding extension operator preserves the same geometric invariance on the unit ball B^(n) in C^(n).The conclusions provide a new approach to study these geometric mappings in C^(n).