Toeplitz products on Bergman-Sobolev spaces over the unit polydisk

DOI10.1007/s10114-021-0539-7zbMath1478.32021OpenAlexW3200318607MaRDI QIDQ2230737

Yanyan Li

Publication date: 28 September 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-021-0539-7

zbMATH Keywords

compactnessFredholm operatorsBergman-Sobolev spaceToeplitz products

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Cites Work

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• Toeplitz and Hankel Operators on Bergman Spaces
• Compact operators via the Berezin transform
• Spaces of Holomorphic Functions in the Unit Ball
• Fredholm composition operators and proper holomorphic mappings
• Compactness and essential norm properties of operators on generalized Fock spaces
• Toeplitz operators and Hankel operators

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