C^n中单位球上推广的Roper-Suffridge算子的性质  

Property of the Roper-Suffridge Extension Operator on the Unit Ball in C^n

作　　者：崔艳艳[1] 刘爱超[2] 

机构地区：[1]周口师范学院数学与信息科学系,河南周口466001 [2]黄淮学院数学系,河南驻马店463000

出　　处：《西南师范大学学报（自然科学版）》2013年第10期22-25,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11271359);河南省自然科学基金资助项目(2011B110034);河南省科技厅软科学项目(102400450003)

摘　　要：进一步推广了Roper-Suffridge算子,并讨论推广后的算子保持双全纯映照子族的一些性质.从定义出发证明推广后的算子在Cn中的单位球Bn上保持强α次殆星形性及强β型螺形性,并作为特殊情况得出推广后的算子在相应域上保持强星形性.In this paper, the authors ulteriorly generalize Roper-Suffridge extension operator, and discuss that the generalized operator preserve some property of subclasses of biholomorphic mappings. From the definition, they prove the fact that the generalized operator preserve strong and almost starlikeness of or- der a and strongly spirallikeness of type/9 on the unit ball in Cn, and as the special case they obtain that the generalized operator preserve strongly starlikeness on the corresponding domains.

关 键 词：强α次殆星形映照 强β型螺形映照 ROPER-SUFFRIDGE算子 

分 类 号：O174.56[理学—数学]