| 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
|
| Fund Project:the National Natural Science Foundation of China (10471039), the Natural Science Foundation of the Education Commission of Jiangsu Province (03KJD140210) |
|
| Hits: 3065 |
| Download times: 1752 |
| 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 |
| View Full Text View/Add Comment |
|
|
|
