Schatten class generalized Toeplitz operators on the Bergman space

DOI10.21136/CMJ.2021.0336-20OpenAlexW3174800582MaRDI QIDQ5016085

Chunxu Xu, Tao Yu

Publication date: 10 December 2021

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2021.0336-20

zbMATH Keywords

Bergman spacecompactnessgeneralized Toeplitz operatorBerezin transformSchatten class

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)

Cites Work

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• Compact operators on Bergman spaces
• Trace ideal criteria for Toeplitz operators
• Approximation and symbolic calculus for Toeplitz algebras on the Bergman space
• Toeplitz operators and group representations
• Schatten class Toeplitz operators on weighted Bergman spaces of the unit ball
• The Formula of FAA Di Bruno
• Hankel Operators on Weighted Bergman Spaces
• Spaces of Holomorphic Functions in the Unit Ball
• A generalization of Toeplitz operators on the Bergman space

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