Weighted BMO and Toeplitz operators on the Bergman space \(A^1\) (Q2919618)

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scientific article; zbMATH DE number 6090236
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Weighted BMO and Toeplitz operators on the Bergman space \(A^1\)
scientific article; zbMATH DE number 6090236

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    4 October 2012
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    Toeplitz operator
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    boundedness
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    compactness
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    bounded mean oscillation
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    Bergman space \(A^1\)
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    Weighted BMO and Toeplitz operators on the Bergman space \(A^1\) (English)
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    In [\textit{J. Taskinen} and \textit{J. Virtanen}, Rev. Mat. Iberoam. 26, 693--706 (2010; Zbl 1204.47040)], the authors obtained sufficient conditions for the boundedness and compactness of Toeplitz operators in the Bergman space \(A^p\), \(1<p<\infty\), over the unit disk. In the paper under review, they extend these results to the case \(p=1\).
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