星形映照的新子族与Roper-Suffridge延拓算子  

New subclass of starlike mappings and Roper-Suffridge extension operators

作　　者：王朝君[1] 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

出　　处：《东北师大学报（自然科学版）》2016年第3期21-24,共4页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11271359;U1204618);河南省科技厅科技发展计划项目(102400450003);周口师范学院青年基金资助项目(zknub3201608);河南省高等学校重点科研项目(17A110041)

摘　　要：在Reinhardt域上及复Banach空间单位球上讨论了星形映照的一类新子族,即复数λ阶殆星映照.证明了几类推广的Roper-Suffridge延拓算子保持复数λ阶殆星映照的不变性,从而能够在多复变数空间的不同区域中构造复数λ阶殆星映照,所得结果推广了已有的结论.A kind of new subclass of starlike mappings,namely almost starlike mappings of complex orderλ,on Reinhardt domains and on the unit ball in complex Banach spaces is studied.From the definitions,it is proved that some generalized Roper-Suffridge operators preserve the invariance of almost starlike mappings of complex orderλ,thus it can construct almost starlike mappings of complex orderλon different domains in several complex variables.The results extend the existing conclusion.

关 键 词：星形映照 殆星映照 ROPER-SUFFRIDGE算子 

分 类 号：O174.56[理学—数学]