A Beurling-type theorem in Bergman spaces (Q2889933)
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scientific article; zbMATH DE number 6044061
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Beurling-type theorem in Bergman spaces |
scientific article; zbMATH DE number 6044061 |
Statements
8 June 2012
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Bergman space
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Beurling's theorem
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invariant subspace
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cyclic subspace
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extremal function
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zero-based subspace
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A Beurling-type theorem in Bergman spaces (English)
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The author shows that every zero-based invariant subspace of the Bergman space \(L_{\alpha}^{2}(D)\) is generated by its extremal function.
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