Product of Toeplitz operators on the harmonic Dirichlet space

DOI10.1007/S10114-011-9300-YzbMath1291.47026OpenAlexW2170365713MaRDI QIDQ353592

Lian Kuo Zhao

Publication date: 16 July 2013

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

Full work available at URL: https://doi.org/10.1007/s10114-011-9300-y

zbMATH Keywords

Toeplitz operatorharmonic Dirichlet spacezero product

Mathematics Subject Classification ID

Dirichlet forms (31C25) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Cites Work

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• Algebraic properties of Toeplitz operators on the Dirichlet space
• Operators on the orthogonal complement of the Dirichlet space
• Finite sums of Toeplitz products on the Dirichlet space
• Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space
• Commuting Toeplitz operators on the harmonic Bergman space
• Commutants of analytic Toeplitz operators on the harmonic Bergman space
• Toeplitz algebra and Hankel algebra on the harmonic Bergman space
• On the range of the Berezin transform
• A question of Toeplitz operators on the harmonic Bergman space
• Commutativity of Toeplitz operators on the harmonic Dirichlet space
• Toeplitz operators on the Dirichlet space
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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