有界完全Reinhardt域上的星形映照  

Starlike Mappings on Bounded Complete Reinhardt Domains

作　　者：王朝君 崔艳艳 WANG Chaojun;CUI Yanyan(Deparment of Mathematics, Zhoukou Normal College, Zhoukou 466001, Henan)

机构地区：[1]周口师范学院数学与统计学院,河南周口466001

出　　处：《四川师范大学学报（自然科学版）》2018年第3期357-360,共4页Journal of Sichuan Normal University（Natural Science）

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

摘　　要：将Roper-Suffridge算子在Reinhardt域上进行了推广,应用推广后的Roper-Suffridge延拓算子通过单位圆盘上全纯函数的α次凸性及近于凸性讨论多复变函数空间中相应的双全纯映照的星形性,从而得到Roper-Suffridge算子及其推广的新性质,并讨论算子的偏差.In this paper,we generalize the Roper-Suffridge extension operators on Reinhardt domains. By applying the generalized opeator,we discuss the starlikeness of biholomorphic mappings by the convexity of order α and close-to-convexity of holomorphic mappings on the unit disc,and then we obtain the new properties of the Roper-Suffridge extension operator. At last,we discuss the distortion of the generalized opeators.

关 键 词：REINHARDT域 星形映照 ROPER-SUFFRIDGE算子 

分 类 号：O174.56[理学—数学]