Commuting dual Toeplitz operators with pluriharmonic symbols

DOI10.1016/j.jmaa.2004.07.046zbMath1064.47027OpenAlexW1983215271MaRDI QIDQ1763407

Yu Feng Lu

Publication date: 22 February 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.046

zbMATH Keywords

Bergman spacesdual Toeplitz operatorspluriharmonic symbols

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Pluriharmonic and plurisubharmonic functions (31C10) Bergman spaces of functions in several complex variables (32A36)

Related Items (22)

Commuting dual Toeplitz operators on the polydisk ⋮ Commuting dual Toeplitz operators on the harmonic Dirichlet space ⋮ Sums of dual Toeplitz products on the orthogonal complements of the Fock spaces ⋮ Dual Toeplitz operators on the sphere ⋮ Quasinormality and numerical ranges of certain classes of dual Toeplitz operators ⋮ Commuting dual Toeplitz operators on the harmonic Bergman space ⋮ Sums of polyanalytic dual Toeplitz products ⋮ Hyponormal dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space ⋮ Sums of dual Toeplitz products on the orthogonal complements of Fock-Sobolev spaces ⋮ Products of Toeplitz and Hankel operators on the Bergman spaces of generalized Hartogs triangles ⋮ Zero sums of dual Toeplitz products on the orthogonal complements of the polyanalytic Fock space ⋮ Commuting dual Toeplitz operators on weighted Bergman spaces of the unit ball ⋮ Finite sums of dual Toeplitz products ⋮ 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 ⋮ Commutativity of k ^th -order slant Toeplitz operators ⋮ 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 ⋮ Sums of dual Toeplitz products on the orthogonal complements of the Hardy-Sobolev spaces ⋮ Operators on the orthogonal complement of the Dirichlet space ⋮ Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space

Cites Work

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• Commuting Toeplitz operators with harmonic symbols
• Mellin transform, monomial symbols, and commuting Toeplitz operators
• Algebraic and spectral properties of dual Toeplitz operators
• Pluriharmonic Symbols of Commuting Toeplitz Type Operators on the Weighted Bergman Spaces
• Essentially Commuting Toeplitz Operators With Harmonic Symbols
• Commuting Toeplitz operators with pluriharmonic symbols
• Commuting of Toeplitz operators on the Bergman spaces of the bidisc
• Commutants of analytic Toeplitz operators on the Bergman space

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