Bounded weighted composition operators on the Bloch space in the unit ball (Q2468918)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounded weighted composition operators on the Bloch space in the unit ball |
scientific article |
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Bounded weighted composition operators on the Bloch space in the unit ball (English)
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30 January 2008
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The author characterizes the boundedness of the weighted composition operator \(uC_\varphi(f)= u(f\circ \varphi)\) acting on the Bloch space defined on the unit ball of \({\mathbb C}^n\). This extends the result by \textit{S.\,Ohno} and \textit{R.\,Zhao} [Bull.\ Aust.\ Math.\ Soc.\ 63, No.\,2, 177--185 (2001; Zbl 0985.47022)] to higher dimensions.
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boundedness
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weighted composition operators
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unit ball
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Bloch space
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