Finite rank perturbations of Toeplitz products on the Bergman space

DOI10.1016/J.JFA.2020.108850OpenAlexW3103973564MaRDI QIDQ2225254

Yanyan Li

Publication date: 5 February 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05414

zbMATH Keywords

Hardy spaceBergman spaceToeplitz operatorsfinite rank perturbation

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces and Fock spaces (30H20)

Cites Work

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• Finite sums of Toeplitz products on the polydisk
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• Mellin transform, monomial symbols, and commuting Toeplitz operators
• A direct approach to the Mellin transform
• On the range of the Berezin transform
• Finite rank commutators and semicommutators of Toeplitz operators with harmonic symbols
• A theorem of Brown-Halmos type on the Bergman space modulo finite rank operators
• Finite rank perturbations of Toeplitz operators
• On the Berezin-Toeplitz calculus
• Finite rank Toeplitz operators on the Bergman space
• Products of Toeplitz operators
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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