Compact Toeplitz operators products on Hardy-Sobolev spaces over the unit polydisk

zbMath1477.32012MaRDI QIDQ1981396

Li He, Guang Fu Cao

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Toeplitz operatorFredholm operatorHardy-Sobolev spaces over the polydisc

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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• Compact sums of Toeplitz products and Toeplitz algebra on the Dirichlet space
• The essential norm of a sum of Toeplitz products on the Dirichlet space
• Products of Bergman space Toeplitz operators on the polydisk
• Zero products of Toeplitz operators with \(n\)-harmonic symbols
• Compact Toeplitz operators via the Berezin transform on bounded symmetric domains
• Spectral theory of multiplication operators on Hardy-Sobolev spaces
• Toeplitz operators on Hardy-Sobolev spaces
• Toeplitz and Hankel Operators on Bergman Spaces
• Compact operators via the Berezin transform
• Fredholm composition operators and proper holomorphic mappings

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