Toeplitz operators with quasihomogeneous symbols on the Bergman space of the unit ball

DOI10.1155/2012/414201zbMath1264.47030OpenAlexW2071279537WikidataQ58908243 ScholiaQ58908243MaRDI QIDQ1757907

Bo Zhang, Yu Feng Lu

Publication date: 7 November 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/414201

zbMATH Keywords

Bergman spaceToeplitz operatorsunit ballcommutatorquasihomogeneous symbolssemicommutator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (2)

Algebraic properties of quasihomogeneous and separately quasihomogeneous Toeplitz operators on the pluriharmonic Bergman space ⋮ Commuting quasihomogeneous Toeplitz operator and Hankel operator on weighted Bergman space

Cites Work

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• Algebraic properties of Toeplitz operators on the polydisk
• Algebraic properties of Toeplitz operators with radial symbols on the Bergman space of the unit ball
• Finite rank commutators and semicommutators of quasihomogeneous Toeplitz operators
• Quasi-radial quasi-homogeneous symbols and commutative Banach algebras of Toeplitz operators
• On the range of the Berezin transform
• Finite-rank products of Toeplitz operators in several complex variables
• Finite rank commutators and semicommutators of Toeplitz operators with harmonic symbols
• On Toeplitz operators with quasihomogeneous symbols
• Finite rank Toeplitz operators on the Bergman space
• Products of Toeplitz operators
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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