Operators on the orthogonal complement of the Dirichlet space

DOI10.1016/j.jmaa.2009.04.019zbMath1180.47023OpenAlexW4212986725MaRDI QIDQ1025842

Tao Yu

Publication date: 23 June 2009

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.2009.04.019

zbMATH Keywords

Sobolev spaceDirichlet spacedual Toeplitz operatordual Hankel operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (15)

Commuting dual Toeplitz operators on the harmonic Dirichlet space ⋮ Product of 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 ⋮ Unnamed Item ⋮ Block dual Toeplitz operators on the orthogonal complement of the Dirichlet space ⋮ Unnamed Item ⋮ Finite sums of dual Toeplitz products ⋮ Toeplitz operators on the Dirichlet space ⋮ Dual Toeplitz operators on orthogonal complement of the harmonic Dirichlet space ⋮ Hyponormal Toeplitz operators on the Dirichlet spaces ⋮ 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 ⋮ Operators on the orthogonal complement of the Dirichlet space. II

Cites Work

• Commuting Toeplitz operators with harmonic symbols
• Algebraic properties of dual Toeplitz operators on the orthogonal complement of the Dirichlet space
• Algebraic properties of Toeplitz operators on the Dirichlet space
• Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space
• Hankel and Toeplitz operators on Dirichlet spaces
• Fredholm properties of Toeplitz operators on Dirichlet spaces
• Commuting dual Toeplitz operators with pluriharmonic symbols
• Algebraic and spectral properties of dual Toeplitz operators
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators
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