数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 468-474.

• • 上一篇    

Banach 空间中推广的一类Roper-Suffridge 算子

  

  1. 1. Department of Mathematics and Physics, Henan University of Urban Construction2. College of Science, Beijing University of Posts and Telecommunications

  • 收稿日期:2012-12-15 出版日期:2013-09-30 发布日期:2023-02-27
  • 作者简介:WANG Xiao-feng(1966-), female, native of Pingdingshan, Henan, an associate professor of Henan University of Urban Construction, engages in complex analysis; XU Yi-fei(1990-), male, native of Kaifeng, Henan, engages in complex analysis.
  • 基金资助:
    Supported by the NNSF of China(11271359)

One Roper-Suffridge Extension Operator in Complex Banach Spaces

  1. 1. Department of Mathematics and Physics, Henan University of Urban Construction2. College of Science, Beijing University of Posts and Telecommunications

  • Received:2012-12-15 Online:2013-09-30 Published:2023-02-27
  • About author:WANG Xiao-feng(1966-), female, native of Pingdingshan, Henan, an associate professor of Henan University of Urban Construction, engages in complex analysis; XU Yi-fei(1990-), male, native of Kaifeng, Henan, engages in complex analysis.
  • Supported by:
    Supported by the NNSF of China(11271359)

摘要: In this paper, by the definition of almost spirallike mappings of type β and orderαand the geometric property of the spirallike mapping of type β, we prove that the generalized Roper-SufFridge extension operator preserves almost spirallikeness of type β and orderαin complex Banach spaces.

关键词: Roper-Su?ridge , extension , operator; , Reinhardt , domains; , complex , Banach spaces

Abstract: In this paper, by the definition of almost spirallike mappings of type β and orderαand the geometric property of the spirallike mapping of type β, we prove that the generalized Roper-SufFridge extension operator preserves almost spirallikeness of type β and orderαin complex Banach spaces.


Key words: Roper-Su?ridge , extension , operator; , Reinhardt , domains; , complex , Banach spaces

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