Sum of Toeplitz products on the Hardy space over the polydisk

zbMath1470.47024MaRDI QIDQ1746529

Tao Yu

Publication date: 25 April 2018

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1520046217

zbMATH Keywords

reproducing kernelBerezin transformessential fiber dimensionHardy space over polydiskpartial harmonic extensionsum of products of Toeplitz operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (1)

Toeplitz products on Bergman-Sobolev spaces over the unit polydisk

Cites Work

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• A generalization of the cellular indecomposable property via fiber dimension
• Commuting Toeplitz operators on the bidisk
• Commuting Toeplitz operators with harmonic symbols
• Toeplitz and Hankel operators with \(L^{\infty ,1}\) symbols on Dirichlet space
• Algebraic properties of Toeplitz operators on the Dirichlet space
• Zero products of Toeplitz operators
• Commuting Toeplitz operators with pluriharmonic symbols
• Commuting Toeplitz operators on the polydisk
• Commuting Toeplitz operators on the Hardy space of the polydisk
• Toeplitz operators on the Dirichlet space
• Commuting Toeplitz operators on the Hardy space of the polydisk
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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