Lowwner链与复Hilbert空间单位球上推广的Roper-Suffridge算子(Ⅰ)

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 125-131.

Lowwner链与复Hilbert空间单位球上推广的Roper-Suffridge算子(Ⅰ)

1. Department of Mathematics, Xuchang Vocutional Technical College2. College of Mathematics and Information Science, Henan University

收稿日期:2008-06-30 出版日期:2009-03-30 发布日期:2023-09-11
作者简介:LIU Tao(1963- ), male, native of Xuchang, Henan, an associate professor of Xuchang Vocutional Technical College, engages in complex analysis.
基金资助:
Supported by the National Natural Science Foundation of China(10626015； 10571044)； Supported by the Fundamental Research of National Natural Science Foundation of Henan University(04ZDZR004)；

Loewner Chains Associated with the Generalized Roper-Suffridge Extension Operator on the Unit Ball in Hilbert Spaces

1. Department of Mathematics, Xuchang Vocutional Technical College2. College of Mathematics and Information Science, Henan University

Received:2008-06-30 Online:2009-03-30 Published:2023-09-11
About author:LIU Tao(1963- ), male, native of Xuchang, Henan, an associate professor of Xuchang Vocutional Technical College, engages in complex analysis.
Supported by:
Supported by the National Natural Science Foundation of China(10626015； 10571044)； Supported by the Fundamental Research of National Natural Science Foundation of Henan University(04ZDZR004)；

摘要/Abstract

摘要： In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of type β and order α, almost starlikeness of order α, spirallikeness of type of β and starlikeness.

关键词: Generalized Roper-Suffridge extension oprator, Loewner chains, Hilbert Space;
almost spirallike mapping of type β and order α

Abstract: In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of type β and order α, almost starlikeness of order α, spirallikeness of type of β and starlikeness.

Key words: Generalized Roper-Suffridge extension oprator, Loewner chains, Hilbert Space;
almost spirallike mapping of type β and order α

中图分类号:

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刘涛, 冯淑霞, 闫春燕. Lowwner链与复Hilbert空间单位球上推广的Roper-Suffridge算子(Ⅰ)[J]. 数学季刊, 2009, 24(1): 125-131.

LIU Tao, FENG Shu-xia, YAN Chun-yan. Loewner Chains Associated with the Generalized Roper-Suffridge Extension Operator on the Unit Ball in Hilbert Spaces[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 125-131.

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