| Extended Ces\`{a}ro Operators on $\mu$-Bloch Spaces in $C^n$ |
| Received:July 03, 2007 Revised:January 02, 2008 |
| Key Words:
Bloch-type space Ces\`{a}ro operator boundedness compactness.
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| Fund Project:the Natural Science Foundation of the Education Commission of Jiangsu Province (No.\,07KJB110115). |
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| Abstract: |
| Let $\mu$, $\nu\in[0,1)$ be normal functions and $g$ be holomorphic function on the unit ball. In this paper, we prove that the generalized Ces\`{a}ro operator $T_g:\beta_\mu\rightarrow\beta_\nu$ is bounded and compact. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.05.019 |
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