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Toeplitz Operators on the Fock Space

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Abstract

We study Toeplitz operators on the Fock space with positive measures as symbols. Main results include characterizations of Fock–Carleson measures, bounded Toeplitz operators, compact Toeplitz operators, and Toeplitz operators in the Schatten p-classes.

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Authors and Affiliations

  1. Department of Mathematics, State University of New York at Buffalo, Buffalo, NY, 14260, USA

    Josh Isralowitz

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

    Kehe Zhu

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  1. Josh Isralowitz
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  2. Kehe Zhu
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Correspondence to Kehe Zhu.

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Isralowitz, J., Zhu, K. Toeplitz Operators on the Fock Space. Integr. Equ. Oper. Theory 66, 593–611 (2010). https://doi.org/10.1007/s00020-010-1768-9

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  • DOI: https://doi.org/10.1007/s00020-010-1768-9

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