The Berezin transform and radial operators on the Bergman space of the unit ball (Q371786)
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scientific article; zbMATH DE number 6214925
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Berezin transform and radial operators on the Bergman space of the unit ball |
scientific article; zbMATH DE number 6214925 |
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The Berezin transform and radial operators on the Bergman space of the unit ball (English)
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10 October 2013
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In this paper, the authors prove that the compactness of radial operators is equivalent to the vanishing of the Berezin transform on the sphere. Furthermore, the authors study a special class of radial operators, i.e., Toeplitz operators with a radial \(L^1(\mathbf B_n)\) symbol.
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Toeplitz operator
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Bergman space
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radial operator
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Berezin transform
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