Composition Operators from ${\cal B}^0$ to $E(p,q)$ and $E_{0}(p,q)$ Spaces |
Received:October 25, 2004 |
Key Words:
Bounded operator compact operator composition operator analytic function $q$-carleson measure
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Fund Project:the National Natural Science Foundation of China (10471039), the Natural Science Foundation of the Education Commission of Jiangsu Province (03KJD140210) |
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Abstract: |
When $\varphi$ is an analytic map of the unit disk $D$ into itself, and $X$ is a Banach space of analytic functions on $D$, define the composition operator $C_\varphi$ by $C_\varphi (f)=f\circ \varphi$, for $f\in X$. This paper deals with a collection of subclasses of Bloch space by means of composition operators from a subspace ${\cal B}^0$ of $Q_q$ to $E(p,q)$ and $E_0(p,q)$ and gets a new characterization of spaces $E(p,q)$ and $E_0(p,q)$. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2006.03.007 |
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