Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 894-907.

• Articles • Previous Articles     Next Articles

The Weighted Composition Operators between Little Bloch Type Spaces on the Unit Ball of Cn Strong Approximations of Linear Processes

 LIU Jing-Cheng, ZHANG Xue-Jun   

  1. College of |Mathematics and Computer Science, Hunan Normal University, Changsha 4100081
  • Received:2008-09-30 Revised:2009-10-13 Online:2010-07-25 Published:2010-07-25
  • Supported by:

    国家自然科学基金(10871065)、湖南省自然科学基金(06JJ50010)和湖南省研究生创新基金(CX2009B099)资助

Abstract:

In  this  paper,   the necessary and sufficient conditions are given for the weighted composition operator Tψ, φ to be bounded or compact from little Bloch type spaces βp0 to βq0 for all 0<p<∞ and 0<q<∞ on the unit ball of Cn.

Key words: Little Bloch type space, Boundedness, Compactness, Weighted composition operator

CLC Number: 

  • 47B38
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