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

被引：2

作者：

崔艳艳 ^{[1
,2
]}

王朝君 ^{[2
]}

刘浩 ^{[3
]}

机构：

[1] College of Mathematics and Information Science,Hebei Normal University

[2] College of Mathematics and Statistics,Zhoukou Normal University

[3] Institute of Contemporary Mathematics,Henan

来源：

Acta Mathematica Scientia(English Series) | 2017年 / 37卷 / 06期

关键词：

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：1817 / 1829

页数：13

共 50 条

[1] THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES
Cui, Yanyan
Wang, Chaojun
Liu, Hao
[J]. ACTA MATHEMATICA SCIENTIA, 2017, 37 (06) : 1817 - 1829
[2] THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES
崔艳艳
王朝君
刘浩
[J]. Acta Mathematica Scientia, 2017, 37 (06) : 1817 - 1829
[3] The generalized Roper-Suffridge extension operator in Banach spaces (Ⅲ)
ZHU YuCan LIU MingSheng Department of MathematicsFuzhou UniversityFuzhou China Department of MathematicsSouth China Normal UniversityGuangzhou China
[J]. Science in China(Series A:Mathematics), 2009, 52 (11) : 2432 - 2446
[4] The generalized Roper-Suffridge extension operator in Banach spaces (Ⅲ)
ZHU YuCan1 & LIU MingSheng2 1 Department of Mathematics
[J]. Science China Mathematics, 2009, (11) : 2432 - 2446
[5] The generalized Roper-Suffridge extension operator in Banach spaces (II)
Zhu, YC
Liu, MS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 303 (02) : 530 - 544
[6] The generalized Roper-Suffridge extension operator in Banach spaces (III)
Zhu YuCan
Liu MingSheng
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (11): : 2432 - 2446
[7] The generalized Roper-Suffridge extension operator in Banach spaces (III)
YuCan Zhu
MingSheng Liu
[J]. Science in China Series A: Mathematics, 2009, 52 : 2432 - 2446
[8] The generalized Roper-Suffridge extension operator
Gong, S
Liu, TS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 284 (02) : 425 - 434
[9] THE GENERALIZED ROPER-SUFFRIDGE EXTENSION OPERATOR
冯淑霞
刘太顺
[J]. Acta Mathematica Scientia, 2008, (01) : 63 - 80
[10] The generalized Roper-Suffridge extension operator
Feng Shuxia
Liu Taishun
[J]. ACTA MATHEMATICA SCIENTIA, 2008, 28 (01) : 63 - 80

← 1 2 3 4 5 →