THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES

doi:10.1016/S0252-9602(17)30109-1

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (6): 1817-1829.doi: 10.1016/S0252-9602(17)30109-1

THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES

崔艳艳^1,2, 王朝君², 刘浩³

1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China;
2. College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China;
3. Institute of Contemporary Mathematics, Henan University, Kaifeng 475001, China

收稿日期:2016-06-13 修回日期:2016-11-20 出版日期:2017-12-25 发布日期:2017-12-25
作者简介:Yanyan CUI,cui9907081@163.com;Chaojun WANG,wang9907081@163.com;Hao LIU,haoliu@henu.edu.cn
基金资助:
This work is supported by NSF of China (11271359), Science and Technology Research Projects of Henan Provincial Education Department (17A110041), Youth Fund Projects of Zhoukou Normal University (zknuB3201608).

THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES

Yanyan CUI^1,2, Chaojun WANG², Hao LIU³

1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China;
2. College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China;
3. Institute of Contemporary Mathematics, Henan University, Kaifeng 475001, China

Received:2016-06-13 Revised:2016-11-20 Online:2017-12-25 Published:2017-12-25
Supported by:
This work is supported by NSF of China (11271359), Science and Technology Research Projects of Henan Provincial Education Department (17A110041), Youth Fund Projects of Zhoukou Normal University (zknuB3201608).

摘要/Abstract

摘要：

In this paper, we extend the Roper-Suffridge extension operator in complex Banach space, and prove that the extended Roper-Suffridge operators preserve the properties of the subclasses of spirallike mappings on the unit ball in complex Banach spaces. Thereby, we promote the conclusions to the cases in complex Hilbert spaces. The conclusions provide new approaches to construct these subclasses of spirallike mappings in several complex variables.

关键词: spirallike mappings, starlike mappings, Roper-Suffridge operator

Abstract:

Key words: spirallike mappings, starlike mappings, Roper-Suffridge operator

崔艳艳, 王朝君, 刘浩. THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES[J]. 数学物理学报(英文版), 2017, 37(6): 1817-1829.

Yanyan CUI, Chaojun WANG, Hao LIU. THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES[J]. Acta mathematica scientia,Series B, 2017, 37(6): 1817-1829.

参考文献

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THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES

THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES

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