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中文摘要：
本文研究了推广的Roper-Suffridge算子保持一些双全纯映照子族的性质.利用一些双全纯映照子族的定义,得到了推广后的Roper-Suffridge算子在复Banach空间单位球上保持ρ次抛物形β型螺形映照及强α次殆星形映照的性质,由此得到复Hilbert空间上推广的Roper-Suffridge算子的相应性质,推广了已有的结论.
英文摘要：
In this paper, the authors prove that the extended Roper-Suffridge operators preserve the properties of some subclasses of biholomorphic mappings. By the definitions of some subclasses of biholomorphic mappings, we prove that the extended Roper-Suffridge operators preserve the properties of parabolic and spiralike mappings of type β and order ρ, strongly and almost starlike mappings of order α on the unit ball in complex Banach spaces, and thus we obtain the corresponding properties of the extended Roper-Suffridge operators in complex Hilbert spaces,which extend the known results.
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