Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (3): 1013-1020.doi: 10.1016/S0252-9602(10)60098-7

• Articles • Previous Articles    

COMPOSITION OPERATORS FROM p-BLOCH SPACES TO LITTLE q-BLOCH SPACES |ON THE UNIT BALL OF Cn

 LI Jun-Feng   

  1. Department of Mathematics and |Computer Science, Hunan City University, Yiyang 413000, China
  • Received:2009-05-21 Revised:2009-09-05 Online:2010-05-20 Published:2010-05-20

Abstract:

For all 0<p, q<∞,  let Cφ denote the composition operator from q-Bloch  spaces βp to  little p-Bloch  spaces β0q on the unit ball of Cn. In this article,  necessary and sufficient conditions for Cφ to be a bounded or compact operator are given.

Key words: Bloch type space, boundedness, compactness, composition

CLC Number: 

  • 47B38
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