Bounded and compact operators on the Bergman space \(L^{1}_{a}\) in the unit disk of \(\mathbb{C}\) (Q421935)
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scientific article; zbMATH DE number 6035388
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounded and compact operators on the Bergman space \(L^{1}_{a}\) in the unit disk of \(\mathbb{C}\) |
scientific article; zbMATH DE number 6035388 |
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Bounded and compact operators on the Bergman space \(L^{1}_{a}\) in the unit disk of \(\mathbb{C}\) (English)
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15 May 2012
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The authors give a complete characterization of boundedness and compactness of Toeplitz operators whose symbols are complex Borel measures. The operators under study act on the \(L^1\)-Bergman space over the unit disk on the complex plane. The results are specified then to the following special cases: anti-analytic symbols and radial symbols. The characterization of compactness for general bounded operators on the above Bergman space is given as well.
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Toeplitz operator
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compact operator
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Carleson measure
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radial symbols
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