Toeplitz operators and composition operators on the \(q\)-Bergman space

DOI10.1007/s11868-023-00583-xOpenAlexW4391718683MaRDI QIDQ6202034

Houcine Sadraoui, Borhen Halouani

Publication date: 21 February 2024

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-023-00583-x

zbMATH Keywords

composition operatorsToeplitz operatorshyponormal\(q\)-Bergman space

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Spaces and algebras of analytic functions of one complex variable (30Hxx) Hypergeometric functions (33Cxx)

Cites Work

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• A \(q\)-analogue of the weighted Bergman space on the disk and associated second \(q\)-Bargmann transform
• Composition operators and classical function theory
• A mean value inequality with applications to Bergman space operators
• On hyponormality of Toeplitz operators
• Hyponormality of Toeplitz Operators
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Hyponormality on general Bergman spaces

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