| Composition Operators from $\alpha$-Bloch Spaces into $Q_K$ Type Spaces |
| Received:March 12, 2008 Revised:October 06, 2008 |
| Key Words:
Composition operator analytic function ${\cal{B}}^\alpha$ space $K$-Carleson measure compact $K$-Carleson measure.
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| Fund Project:the National Natural Science Foundation of China (No.\,10471039); the Grant of Higher Schools' Natural Science Basic Research of Jiangsu Province of China (Nos.\,06KJD110175; 07KJB110115). |
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| Abstract: |
| Suppose $\phi$ is an analytic map of the unit disk $D$ into itself, $X$ is a Banach space of analytic functions on $D$. Define the composition operator $C_\phi$: $C_\phi f=f\circ \phi$, for all $f\in X$. In this paper, the boundedness and compactness of the composition operators from $\alpha$-Bloch spaces into $Q_K(p,q)$ and $Q_{K,0}(p,q)$ spaces are discussed, where $0<\alpha<\infty$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.06.008 |
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