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• W4297201718 abstract "The characterization of the bounded Toeplitz operators T a in Bergman spaces is an open problem even in the simplest case of the unweighted Bergman-Hilbert space $$A^2({mathbb D})$$ . We consider here recent partial results on the topic. These include sufficient conditions for the boundedness and compactness of T a in terms of weak Carleson-types condition for the symbol a. The results were recently generalized to the case of spaces on the unit ball $${mathbb B}_N$$ of $${mathbb C}^N$$ . The second approach is based on certain results on the structure of the Bergman-spaces, namely, representations of their weighted norms using finite-dimensional decompositions of the spaces. This approach provides a characterization of the boundedness and compactness in the case of operators in spaces with weighted sup-norms." @default.
• W4297201718 created "2022-09-27" @default.
• W4297201718 creator A5025168142 @default.
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• W4297201718 date "2022-01-01" @default.
• W4297201718 modified "2023-10-04" @default.
• W4297201718 title "Boundedness of Toeplitz Operators in Bergman-Type Spaces" @default.
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• W4297201718 doi "https://doi.org/10.1007/978-3-031-02104-6_14" @default.
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