Weighted Composition Followed and Proceeded by Differentiation Operators from $Q_{k}(p,q)$ Space to Weighted $\alpha$-Bloch Space
Received:August 10, 2010  Revised:November 20, 2010
Key Words: $Q_{k}(p,q)$ space   weighted $\alpha$-Bloch space   weighted composition operators   differentiation operators   boundedness   compactness.  
Fund Project:Supported by the National Natural Science Foundation of China(Grant No.11171080) and the Foundation of Science and Technology Department of Guizhou Province (Grant No.2010[07]).
Author NameAffiliation
Jian Ren LONG School of Mathematics and Computer Science, Guizhou Normal University, Guizhou 550001, P. R. China 
Peng Cheng WU School of Mathematics and Computer Science, Guizhou Normal University, Guizhou 550001, P. R. China 
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Abstract:
      We study the boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from $Q_{k}(p,q)$ space to weighted $\alpha$-Bloch space and little weighted $\alpha$-Bloch space. Some necessary and sufficient conditions for the boundedness and compactness of these operators are given.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.06.019
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