Loewner链与推广的Roper-Suffridge算子

数学季刊 ›› 2009, Vol. 24 ›› Issue (3): 420-425.

Loewner链与推广的Roper-Suffridge算子

1. College of Mathematics and Information Science, Henan University2. Department of Mathematics, Xuchang Vocutional Technical College

收稿日期:2008-07-20 出版日期:2009-09-30 发布日期:2023-06-29
作者简介: CHENG Jin-huan(1963-), female, native of Kaifeng, Henan, a lecturer of Henan University,engages in several complex variables; 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)；

Loewner Chains Associated with the Generalized Roper-Suffridge Extension Operator

1. College of Mathematics and Information Science, Henan University2. Department of Mathematics, Xuchang Vocutional Technical College

Received:2008-07-20 Online:2009-09-30 Published:2023-06-29
About author: CHENG Jin-huan(1963-), female, native of Kaifeng, Henan, a lecturer of Henan University,engages in several complex variables; 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)；

摘要/Abstract

摘要： In this paper, we prove that the generalized Roper-Suffridge extension operator can be embedded 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 other α,almost starlikeness of order α, spirallikeness of type β and starlikeness.

关键词: generalized Roper-Suffridge extension operator, Lowewner chains, almost spirallike mapping of type β and order α

Abstract: In this paper, we prove that the generalized Roper-Suffridge extension operator can be embedded 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 other α,almost starlikeness of order α, spirallikeness of type β and starlikeness.

Key words: generalized Roper-Suffridge extension operator, Lowewner chains, almost spirallike mapping of type β and order α

中图分类号:

O174.5

成金环, 刘涛. Loewner链与推广的Roper-Suffridge算子[J]. 数学季刊, 2009, 24(3): 420-425.

CHENG Jin-huan, LIU Tao. Loewner Chains Associated with the Generalized Roper-Suffridge Extension Operator [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(3): 420-425.

[1]	刘小松, 冯淑霞. 关于α次的β型螺形映射推广的Roper-Suffridge算子的一个注记[J]. 数学季刊, 2009, 24(2): 310-316.
[2]	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.