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Schatten class hankel operators on the Bergman space

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Abstract

In this paper we characterize Hankel operatorsH f andH f on the Bergman spaces of bounded symmetric domains which are in the Schatten p-class for 2≤p<∞ and f inL 2 using a Jordan algebra characterization of bounded symmetric domains and properties of the Bergman metric.

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  1. Department of Mathematics, SUNY at Stony Brook, 11794, Stony Brook, NY

    Dechao Zheng

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  1. Dechao Zheng
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Zheng, D. Schatten class hankel operators on the Bergman space. Integr equ oper theory 13, 442–459 (1990). https://doi.org/10.1007/BF01199895

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  • DOI: https://doi.org/10.1007/BF01199895

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