| 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.
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| 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]). |
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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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