Asymptotic Toeplitz and Hankel operators on the Bergman space (Q1959037)
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scientific article; zbMATH DE number 5794234
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic Toeplitz and Hankel operators on the Bergman space |
scientific article; zbMATH DE number 5794234 |
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Asymptotic Toeplitz and Hankel operators on the Bergman space (English)
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1 October 2010
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\textit{J.\,Barria} and \textit{P.\,R.\thinspace Halmos} [Trans.\ Am.\ Math.\ Soc.\ 273, 621--630 (1982; Zbl 0522.47020)] introduced the notion of the asymptotic Toeplitz operators in the context of the Hardy space \(H^2\) of the unit circle. In the paper under review, the corresponding concept is studied in the setting of the Bergman space \(L^2_a\) of the unit disk.
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asymptotic Toeplitz operator
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asymptotic Hankel operator
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Hardy space
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Bergman space
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Bergman shift operator
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