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

DOI10.1090/tran/8638zbMath1503.47037arXiv2012.13768OpenAlexW3114265649MaRDI QIDQ5067629

Zhangjian Hu, Jani A. Virtanen

Publication date: 4 April 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.13768

zbMATH Keywords

Hankel operatorSchatten classSegal-Bargmann space

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (8)

Sub-Hilbert relation for Fock-Sobolev type spaces ⋮ Schatten class Hankel operators on exponential Bergman spaces ⋮ Complex FIOs and composition of Toeplitz operators ⋮ On the product formula for Toeplitz and related operators ⋮ Corrigendum to “Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon” ⋮ IDA and Hankel operators on Fock spaces ⋮ The Berger-Coburn phenomenon for Hankel operators on the Fock space ⋮ Schatten class operators on exponential weighted Bergman spaces

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