复Banach空间上推广的Roper-Suffridge算子的性质  

Property of generalized Roper-Suffridge extension operator in complex Banach space

作　　者：崔艳艳[1] 汪叶[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]河南大学数学与信息科学学院,河南开封475001

出　　处：《河南工程学院学报（自然科学版）》2012年第3期70-72,共3页Journal of Henan University of Engineering：Natural Science Edition

基　　金：数学天元青年基金(11126153);河南省教育厅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：讨论复Banach空间上两类推广的Roper-Suffridge算子,证明该算子保持强β型螺形映照、强α次殆星映形照、α次强β型螺形映照及α次殆β型螺形映照的性质,并作为特殊情况包含了已有的结论.In this paper, the property of two kinds of Roper-Suffridge extension operators in complex Banach space is discussed, and the fact is proved that the operators keep the properties of strongly spiral-like mappings of type β , strong and almost star-like map- pings of order α , strongly spiral-like mappings of type β and order α and almost spiral-like mappings of type β and order α , and as the special case, the results extend the known results.

关 键 词：强β型螺形映照 α次强β型螺形映照 α次殆β型螺形映照 强α次殆星形映照 

分 类 号：O174.51[理学—数学]