The Generalized Roper-suffridge Operator in Banach Spaces 被引量：1

The Generalized Roper-suffridge Operator in Banach Spaces

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摘要 In this paper, by the definition of spirallike mapping of type β and order α ,we discuss that the generalized Roper-Suffridge extension operator preserves spirallikeness of type β and order α in complex Banach spaces. In this paper, by the definition of spirallike mapping of type β and order α ,we discuss that the generalized Roper-Suffridge extension operator preserves spirallikeness of type β and order α in complex Banach spaces.

作者 WANG Xiao-feng RUAN Lin-yao ZHANG Fang-fang

机构地区 Department of Mathematics and Physics Institute of Mathematics Institute of Mathematics and Information Science

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第3期452-457,共6页 数学季刊（英文版）

基金 Supported by the NNSF of China(10971219)

关键词 generalized Roper-Suffridge operator Reinhardt domains complex Banach spaces generalized Roper-Suffridge operator Reinhardt domains complex Banachspaces

分类号 O174.51 [理学—基础数学]

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参考文献3

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共引文献62

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引证文献1

1鲁美麟,李德生,关洪岩.The Berezin Transform and Radial Operators on the Weighted Bergman Space of the Unit Ball[J].Chinese Quarterly Journal of Mathematics,2015,30(1):47-54.

1冯淑霞,刘太顺.THE GENERALIZED ROPER-SUFFRIDGE EXTENSION OPERATOR[J].Acta Mathematica Scientia,2008,28(1):63-80. 被引量：29
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3WANG Xiao-feng,XU Yi-fei.One Roper-Suffridge Extension Operator in Complex Banach Spaces[J].Chinese Quarterly Journal of Mathematics,2013,28(3):468-474. 被引量：1
4王朝君,崔艳艳,朱思峰.星形映照的新子族与Roper-Suffridge延拓算子[J].东北师大学报（自然科学版）,2016,48(3):21-24.
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6赵娜.延拓算子F(z)在n=2时的系数估计[J].网友世界,2014(11):137-137.
7LIU Xiao-song,FENG Shu-xia.A Remark on the Generalized Roper-Suffridge Extension Operator for Almost Stalike Mappings of Order α[J].Chinese Quarterly Journal of Mathematics,2007,22(1):22-28. 被引量：2
8王朝君,崔艳艳,刘浩.B^n上推广的Roper-Suffridge算子的性质[J].数学学报（中文版）,2016,59(6):729-744. 被引量：1
9ZHU YuCan1 & LIU MingSheng2 1 Department of Mathematics,Fuzhou University,Fuzhou 350002,China 2 Department of Mathematics,South China Normal University,Guangzhou 510631,China.The generalized Roper-Suffridge extension operator in Banach spaces (Ⅲ)[J].Science China Mathematics,2009,52(11):2432-2446. 被引量：1
10成金环,刘涛.Loewner Chains Associated with the Generalized Roper-Suffridge Extension Operator[J].Chinese Quarterly Journal of Mathematics,2009,24(3):420-425.

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2012年第3期

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