Kernels of Toeplitz operators on the Hardy space over the bidisk

DOI10.1016/j.jfa.2017.01.002zbMathNoneOpenAlexW2567859401MaRDI QIDQ517169

Young Joo Lee, Yong Chen, Kei-Ji Izuchi

Publication date: 16 March 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.01.002

zbMATH Keywords

Hardy spaceToeplitz operatorbackward shift invariant subspacehomogeneous type functions

Mathematics Subject Classification ID

Operator theory (47-XX) Harmonic analysis on Euclidean spaces (42-XX)

Related Items (4)

Sequences of powers of Toeplitz operators on the Hardy space ⋮ On the inversion of the block double-structured and of the triple-structured Toeplitz matrices and on the corresponding reflection coefficients ⋮ Kernels of Hankel operators on the Hardy space over the bidisk ⋮ On the structure of the inverse to Toeplitz-block Toeplitz matrices and of the corresponding polynomial reflection coefficients

Cites Work

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• \(N_\phi\)-type quotient modules on the torus
• The kernel of a Toeplitz operator
• Invariant subspaces of \({\mathcal H}^ 2\) of an annulus
• A Coburn type theorem on the Hardy space of the bidisk
• A note on the range of Toeplitz operators
• Weyl's theorem for nonnormal operators

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