数学季刊 ›› 2008, Vol. 23 ›› Issue (3): 356-359.

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加权复合算子在Bloch型空间上的有界性

  

  1. 1. Department of Mathematics,Yili Normal University  2. College of Operators Research,Qufu Normal University  3. College of Mathematics and System Sciences,Xin-jiang University,Urumqi 830046,China 

  • 收稿日期:2004-12-23 出版日期:2008-09-30 发布日期:2023-09-21
  • 作者简介:GUO Ji-dong(1965- ), male, native of Yuncheng, Henan, a professor of Yili Normal University, engages in analytic function; LIU Pin(1962- ), female, native of Luoyang, Henan, a lecturer of Qufu Normal University, engages in mathematics and Library science.
  • 基金资助:
    Supported by  the Scientific Research Program of the Higher Education Institution of Xinjiang(XJEDU2005E06);

Boundedness of Weighted Composition Operators on Bloch Type Spaces 

  1. 1. Department of Mathematics,Yili Normal University  2. College of Operators Research,Qufu Normal University  3. College of Mathematics and System Sciences,Xin-jiang University,Urumqi 830046,China 
  • Received:2004-12-23 Online:2008-09-30 Published:2023-09-21
  • About author:GUO Ji-dong(1965- ), male, native of Yuncheng, Henan, a professor of Yili Normal University, engages in analytic function; LIU Pin(1962- ), female, native of Luoyang, Henan, a lecturer of Qufu Normal University, engages in mathematics and Library science.
  • Supported by:
    Supported by  the Scientific Research Program of the Higher Education Institution of Xinjiang(XJEDU2005E06);

摘要:

In this paper, we give a necessary and sufficient condition for weighted compo-sition operators Cu,φ to be boundedness on Bloch type spaces Bα. The theorem generalizes some previous results.

关键词: weighted composition operator, Bloch type space, boundedness

Abstract:

In this paper, we give a necessary and sufficient condition for weighted compo-sition operators Cu,φ to be boundedness on Bloch type spaces Bα. The theorem generalizes some previous results.


Key words: weighted composition operator, Bloch type space, boundedness

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