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中文摘要：
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.
英文摘要：
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.
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