B^n上螺形映照的子族与推广的Roper-Suffridge算子  

Subclasses of Spiral-like Mappings on B^n and the Generalized Roper-Suffridge Extension Operators

作　　者：王朝君[1] 刘爱超[2] 崔艳艳[1] 朱思峰[1] 

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

出　　处：《四川师范大学学报（自然科学版）》2016年第2期231-235,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10971219);河南省教育厅自然科学基金(2011B110034);河南省科技厅软科学项目(102400450003)

摘　　要：讨论在C^n中单位球B^n上强α次殆β型螺形映照在一些推广的Roper-Suffridge算子下的不变性.从定义出发,利用双全纯映照的偏差结论证明推广后的Roper-Suffridge算子在一定的条件下保持强α次殆β型螺形性,从而得到推广后的算子保持强β型螺形性、强α次殆星形性及强星形性.In this paper,the authors discuss the invariance of strong and almost spiral-like mappingns of type β and order α under some generallized Roper-Suffridge extension operators on the unit ball B^n in C^n.From the definitions and the distortion theorems of biholomorphic mappings,they prove that the generallized operators keep strong and almost spirallikeness of type β and order α,thus they obtain that the generallized operators keep strong spirallikeness of type β,strong and almost starlikeness of order α as well as strong starlikeness.

关 键 词：螺形映照 星形映照 ROPER-SUFFRIDGE算子 

分 类 号：O174.56[理学—数学]