Products of Toeplitz operators on the harmonic Bergman space

DOI10.1090/S0002-9939-09-10204-6zbMath1195.47014OpenAlexW2076722975MaRDI QIDQ3559007

Xing-Tang Dong, Ze-Hua Zhou

Publication date: 11 May 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10204-6

zbMATH Keywords

Toeplitz operatorharmonic Bergman spacequasihomogeneous symbol

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38)

Related Items (12)

Algebraic properties of small Hankel operators on the harmonic Bergman space ⋮ QUASIHOMOGENEOUS TOEPLITZ OPERATORS WITH INTEGRABLE SYMBOLS ON THE HARMONIC BERGMAN SPACE ⋮ The Berezin transform and radial operators on the Bergman space of the unit ball ⋮ Commuting quasihomogeneous Toeplitz operators on the harmonic Bergman space ⋮ Algebraic properties of Toeplitz operators on the pluriharmonic Bergman space ⋮ Product of quasihomogeneous Toeplitz operators on the pluriharmonic Bergman space of the polydisk ⋮ Products of Toeplitz operators on the 2-analytic Bergman space ⋮ Commuting separately quasihomogeneous small Hankel operators on pluriharmonic Bergman space ⋮ Ranks of commutators and generalized semicommutators of quasihomogeneous Toeplitz operators ⋮ On the commutativity of a certain class of Toeplitz operators ⋮ Algebraic properties of quasihomogeneous and separately quasihomogeneous Toeplitz operators on the pluriharmonic Bergman space ⋮ Algebraic properties of Toeplitz and small Hankel operators on the harmonic Bergman space

Cites Work

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• Algebraic properties of Toeplitz operators with radial symbols on the Bergman space of the unit ball
• Mellin transform, monomial symbols, and commuting Toeplitz operators
• Commuting Toeplitz operators on the harmonic Bergman space
• On Toeplitz operators with quasihomogeneous symbols
• The Berezin transform and radial operators
• The rank of Hankel operators on harmonic Bergman spaces
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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