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The essential norm of the generalized Hankel operators on the Bergman space of the unit ball in \(C^{n}\) - MaRDI portal

The essential norm of the generalized Hankel operators on the Bergman space of the unit ball in \(C^{n}\) (Q535935)

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scientific article; zbMATH DE number 5888114
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The essential norm of the generalized Hankel operators on the Bergman space of the unit ball in \(C^{n}\)
scientific article; zbMATH DE number 5888114

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    The essential norm of the generalized Hankel operators on the Bergman space of the unit ball in \(C^{n}\) (English)
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    16 May 2011
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    Summary: In [Pac. J. Math. 161, No.~1, 155--184 (1993; Zbl 0791.46019)], \textit{M. M. Peloso} introduced a kind of operators on the Bergman space \(A^2(B)\) of the unit ball that generalizes the classical Hankel operator. In this paper, we estimate the essential norm of the generalized Hankel operators on the Bergman space \(A^p(B)\) \((p >1)\) of the unit ball and give an equivalent form of the essential norm.
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