Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 573-583.

• Articles • Previous Articles     Next Articles

Weighted Composition Operators Between &mu|-Bloch Spaces on the Unit Ball of Cn

  

  1. (College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081)
  • Received:2007-06-21 Revised:2009-03-09 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    湖南省自然科学基金(06JJ50010)资助

Abstract:

Let μ and ν be two normal functions on [0,1). In this paper, the necessary and sufficient conditions are given for the weighted composition
 operator Tψ,φ to be bounded (or compact) from  Bloch type spaces  βμ to βν on the unit ball B of Cn (n>1).

Key words: &mu, -Bloch space,  , Weighted composition operator, Boundedness, Compactness

CLC Number: 

  • 47B38
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