Loewner链与推广的Roper-Suffridge算子

数学物理学报 ›› 2009, Vol. 29 ›› Issue (6): 1601-1612.

Loewner链与推广的Roper-Suffridge算子

河南大学数学与信息科学学院河南开封 475004

收稿日期:2007-04-08 修回日期:2008-09-26 出版日期:2009-12-25 发布日期:2009-12-25
基金资助:
国家自然科学基金(10626015, 10571044)资助

Loewner Chains and the Generalized Roper-Suffridge Extension Operator

College of Mathematics and Information Science, Henan University, Henan Kaifeng 475004

Received:2007-04-08 Revised:2008-09-26 Online:2009-12-25 Published:2009-12-25
Supported by:
国家自然科学基金(10626015, 10571044)资助

摘要/Abstract

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.

关键词: Loewner链, α次的殆&beta, 型螺形映射, 推广的Roper-Suffridge算子

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.

Key words: Loewner chain, Almost spirallike mapping of type β and order α, Generalized Roper-Suffridge extension operator

中图分类号:

32A30

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, 2009, 29(6): 1601-1612.

FENG Shu-Xia, LIU Xiao-Song, XU Qing-Hua. Loewner Chains and the Generalized Roper-Suffridge Extension Operator[J]. Acta mathematica scientia,Series A, 2009, 29(6): 1601-1612.

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