Bergman-Hartogs域上的两类双全纯映照子族  

Two subclasses of biholomorphic mappings on Bergman-Hartogs domains

作　　者：王朝君 崔艳艳 刘浩[2] WANG Chao-jun1 ,CUI Yan-yan1 ,LIU Hao2(1. College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001 ,China ; 2. Institute Of Contemporary Mathematics, Henan University,Kaifeng 475001 ,Chin)

机构地区：[1]周口师范学院数学与统计学院,河南周口466001 [2]河南大学现代数学研究所,河南开封475001

出　　处：《东北师大学报（自然科学版）》2018年第1期19-24,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11271359;11471098);河南省教育厅科学技术研究重点项目(17A110041)

摘　　要：将Roper-Suffridge延拓算子在Bergman-Hartogs域上做进一步的推广,利用α次β阶殆星映照的几何性质及偏差估计,讨论推广后的Roper-Suffridge算子在一定条件下保持α次β型螺形性及复数λ阶殆星性,由此得到单位球上相应的结论.The Roper-Suffridge operator is extended on Bergman-Hartogs domains.By the geometric properties and the distortion theorems of spirallike mappings of type β and orderαas well as almost starlike mappings of complex order α,the extended operators are discussed to preserve spirallikeness of type β and order α as well as almost starlikeness of complex order α,which lead to the corresponding results on the unit ball.

关 键 词：双全纯映照 ROPER-SUFFRIDGE算子 Bergman-Hartogs域 

分 类 号：O174.56[理学—数学]