The Bergman projection on weighted spaces: \(L^1\) and Herz spaces (Q2773434)
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scientific article; zbMATH DE number 1710024
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Bergman projection on weighted spaces: \(L^1\) and Herz spaces |
scientific article; zbMATH DE number 1710024 |
Statements
21 February 2002
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analytic functions
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Bergman projections
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continuity
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Herz spaces
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The Bergman projection on weighted spaces: \(L^1\) and Herz spaces (English)
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The authors consider spaces of analytic functions on the unit disc provided with a norm of a weighted Herz space. More precisely, they study the classical family of Bergman projections \(P_s\), \(s>-1\), and give necessary and sufficient conditions on the radial weight \(w\) making these projections continuous in the corresponding weighted Herz space. In addition, the continuity of these projections in the weighted \(L^1(w)\) space is investigated.
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