Roper-Suffridge延拓算子与Loewner链

数学物理学报 ›› 2016, Vol. 36 ›› Issue (3): 433-440.

Roper-Suffridge延拓算子与Loewner链

王朝君¹, 崔艳艳¹, 刘浩²

1 周口师范学院数学与统计学院河南周口 466001;
2 河南大学数学与信息科学学院开封 475001

收稿日期:2015-12-13 修回日期:2016-03-29 出版日期:2016-06-26 发布日期:2016-06-26
作者简介:王朝君,wang9907081@163.com
基金资助:
国家自然科学基金（U1204618）、河南省自然科学基金（2011B110034）和河南省教育厅科学技术研究重点项目（14B110015，14B110016）资助

Generalized Roper-Suffridge Extension Operators and Loewner Chains

Wang Chaojun¹, Cui Yanyan¹, Liu Hao²

1 College of Mathematics and Statistics, Zhoukou Normal University, Henan Zhoukou 466001;
2 College of Mathematics and Information Science, Henan University, Kaifeng 475001

Received:2015-12-13 Revised:2016-03-29 Online:2016-06-26 Published:2016-06-26
Supported by:
Supported by the NSFC (U1204618), the Natural Science Foundation of Henan Province (2011B110034) and the Key Project of Science and Technology Research of Henan Provincial Department of Education (14B110015, 14B110016)

摘要/Abstract

摘要：

主要讨论一类推广的Roper-Suffridge算子在一定条件下能够嵌入Loewner链，并从α次殆β型螺形映照的解析特征出发证明推广的Roper-Suffridge算子在一类有界完全Reinhardt域上保持α次殆β型螺形性. 所得结果推广了已有的结论.

关键词: Roper-Suffridge算子, &alpha, 次殆&beta, 型螺形映照, Loewner链

Abstract:

In this paper, we mainly seek conditions under which a kind of generalized Roper-Suffridge operators can be embedded in Loewner chains. Sequentially, by the analytical characteristics of almost spirallikeness of order α and type β, we discuss the generalized Roper-Suffridge operators preserve almost spirallikeness of order α and type β on a bounded and completely Reinhardt domain. The conclusions generalize the previous results.

Key words: Roper-Suffridge operators, Almost spirallike mappings of type β and order α, Loewner Chains

中图分类号:

O174.56

王朝君, 崔艳艳, 刘浩. Roper-Suffridge延拓算子与Loewner链[J]. 数学物理学报, 2016, 36(3): 433-440.

Wang Chaojun, Cui Yanyan, Liu Hao. Generalized Roper-Suffridge Extension Operators and Loewner Chains[J]. Acta mathematica scientia,Series A, 2016, 36(3): 433-440.

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