Commuting dual Toeplitz operators on the polydisk

DOI10.1007/s10114-005-0877-xzbMath1128.47030OpenAlexW2347911346MaRDI QIDQ2641550

Shu Xia Shang, Yu Feng Lu

Publication date: 20 August 2007

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0877-x

zbMATH Keywords

polydiscBergman spacesmaximal ideal spacedual Toeplitz operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Commutators, derivations, elementary operators, etc. (47B47) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Functional analysis techniques applied to functions of several complex variables (32A70)

Related Items (13)

Commuting dual Toeplitz operators on the harmonic Dirichlet space ⋮ Dual Toeplitz operators on the sphere ⋮ Commuting dual Toeplitz operators on the harmonic Bergman space ⋮ Hyponormal dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space ⋮ Commuting dual Toeplitz operators on weighted Bergman spaces of the unit ball ⋮ Properties of dual Toeplitz operators with applications to Haplitz products on the Hardy space of the polydisk ⋮ Dual Toeplitz operators on orthogonal complement of the harmonic Dirichlet space ⋮ Algebraic properties of dual Toeplitz operators on the orthogonal complement of the Dirichlet space ⋮ Invertibility and spectral properties of dual Toeplitz operators ⋮ Properties of commutativity of dual Toeplitz operators on the orthogonal complement of pluriharmonic Dirichlet space over the ball ⋮ Dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space ⋮ Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space ⋮ Rank-one cross commutators on backward shift invariant subspaces on the bidisk

Cites Work

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• Commuting Toeplitz operators with harmonic symbols
• Commuting dual Toeplitz operators with pluriharmonic symbols
• Bounded Toeplitz products on the Bergman space of the polydisk.
• Bounded analytic functions and Gleason parts
• Algebraic and spectral properties of dual Toeplitz operators
• Toeplitz and Hankel Operators on Bergman Spaces
• Essentially Commuting Toeplitz Operators With Harmonic Symbols
• Commuting Toeplitz operators with pluriharmonic symbols
• Commuting Toeplitz operators on the polydisk
• Commuting of Toeplitz operators on the Bergman spaces of the bidisc
• Commutants of analytic Toeplitz operators on the Bergman space

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