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.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
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)
