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Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon

Hu, 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

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To link to this item DOI: 10.1090/tran/8638

Abstract/Summary

We 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 .

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:102146
Publisher:American Mathematical Society

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