Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (3): 356-359.

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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);

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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