Loewner链与推广的Roper-Suffridge算子 |
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引用本文: | 冯淑霞,刘小松,徐庆华.Loewner链与推广的Roper-Suffridge算子[J].数学物理学报(A辑),2009,29(6):1601-1612. |
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作者姓名: | 冯淑霞 刘小松 徐庆华 |
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作者单位: | 冯淑霞(河南大学数学与信息科学学院,河南,开封,475004);刘小松(湛江师范学院数学与计算科学学院,广东,湛江,524048);徐庆华(江西师范大学数学与信息科学学院,南昌,330027) |
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摘 要: | 该文从Loewner链的角度出发, 在任意有限维复Banach空间中的单位球B 上给出α 次的殆β 型螺形映射的解析特征, 进而说明推广的Roper-Suffridge算子在一类有界凸圆型域上能嵌入Loewner链.
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关 键 词: | Loewner链 α次的殆β型螺形映射 推广的Roper-Suffridge算子 |
收稿时间: | 2007-04-08 |
修稿时间: | 2008-09-26 |
Loewner Chains and the Generalized Roper-Suffridge Extension Operator |
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Institution: | College of Mathematics and Information Science, Henan University, Henan Kaifeng 475004 |
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Abstract: | In this paper, the authors give the characterization of almost spirallike mappings of type β and order α on the unit ball B in finite dimensional complex Banach space from the Loewner chains point of view, and prove that the generalized Roper-Suffridge extension operator can be embedded in a Loewner chain on a bounded convex circular domain. |
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Keywords: | 32A30 30C45 Loewner chain Generalized Roper-Suffridge extension operator |
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