Schatten-Herz type positive Toeplitz operators on pluriharmonic Bergman spaces (Q860603)
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scientific article; zbMATH DE number 5083304
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Schatten-Herz type positive Toeplitz operators on pluriharmonic Bergman spaces |
scientific article; zbMATH DE number 5083304 |
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Schatten-Herz type positive Toeplitz operators on pluriharmonic Bergman spaces (English)
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9 January 2007
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The authors study Toeplitz operators acting on the pluriharmonic Bergman space over the unit ball and whose symbols are positive (finite) Borel measures. The main result gives necessary and sufficient conditions for the Schatten-Hertz class \(S_{p,q}\) membership in terms of certain mixed norm spaces, involving averaging functions and Berezin transforms.
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Toeplitz operator
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Schatten-Herz type
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pluriharmonic Bergman space
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