Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenonHu, Z. and Virtanen, J. A. (2022) Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon. Transactions of the American Mathematical Society, 375. pp. 3733-3753. ISSN 1088-6850
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1090/tran/8638 Abstract/SummaryWe give a complete characterization of Schatten class Hankel operators acting on weighted Segal-Bargmann spaces using the notion of integral distance to analytic functions in and Hörmander’s -theory. Using our characterization, for and , we prove that is in the Schatten class if and only if , which was previously known only for the Hilbert-Schmidt class of the standard Segal-Bargmann space with .
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