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| 摘要: |
| 本文研究了推广的Roper-Sufiridge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-Sufiridge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-Sufiridge算子的相应性质,推广了已有的结论. |
| 关键词: Roper-Sufiridge算子 ρ次抛物形β型螺形映照 强α次殆星形映照 |
| DOI： |
| 分类号:O174.56 |
| 基金项目:国家自然科学基金资助(11271359;U1204618);河南省教育厅自然科学基金资助(2011B110034);河南省科技厅软科学项目(102400450003). |
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| THE GENERALIZED ROPER-SUFFRIDGE EXTENSIONOPERATORS IN COMPLEX BANACH SPACE |
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CUI Yan-yan,WANG Chao-jun
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| Abstract: |
| In this paper, the authors prove that the extended Roper-Sufiridge 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-Sufiridge operators preserve the properties of parabolic and spiralike mappings of type β and order ρ, strongly and almost starlike mappings of order fi on the unit ball in complex Banach spaces, and thus we obtain the corresponding properties of the extended Roper-Sufiridge operators in complex Hilbert spaces, which extend the known results. |
| Key words: Roper-Sufiridge operators parabolic and spiralike mappings of type β and order ρ strongly and almost starlike mappings of order α |
