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Hankel-Toeplitz type operators onL 1 a (Ω)

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Abstract

This paper studies Hankel and Toeplitz operators on the Bergman spaceL 1 a (Ω) of bounded symmetric domains. These operators are defined in terms of a certain bounded projection onL 1(Ω,dV). The main results of the paper include several characterizations for the boundedness and (weak-star) compactness of these Hankel-Toeplitz type operators. When the symbol is conjugate holomorphic, our results here are similar to those obtained by Békollé, Berger, Coburn, and Zhu [2] in theL 2-Bergman space context.

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Authors and Affiliations

  1. Department of Mathematics, State University of New York, 12222, Albany, NY, USA

    Kehe Zhu

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  1. Kehe Zhu
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Research partially supported by the National Science Foundation

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Zhu, K. Hankel-Toeplitz type operators onL 1 a (Ω). Integr equ oper theory 13, 285–302 (1990). https://doi.org/10.1007/BF01193761

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  • DOI: https://doi.org/10.1007/BF01193761

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