Commuting separately quasihomogeneous small Hankel operators on pluriharmonic Bergman space

DOI10.1155/2018/5316275zbMath1498.47071OpenAlexW2791829200WikidataQ130170814 ScholiaQ130170814MaRDI QIDQ1746786

Qi Wu, Yong Chen, Chuntao Qin, Yi Le Zhao

Publication date: 25 April 2018

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

Full work available at URL: https://doi.org/10.1155/2018/5316275

zbMATH Keywords

Bergman spaceHankel operatorcommutator

Mathematics Subject Classification ID

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

Cites Work

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• Algebraic properties of small Hankel operators on the harmonic Bergman space
• Commuting quasihomogeneous Toeplitz operators on the harmonic Bergman space
• Commuting Toeplitz operators with harmonic symbols
• Mellin transform, monomial symbols, and commuting Toeplitz operators
• Essentially commuting Hankel and Toeplitz operators.
• When do Toeplitz and Hankel operators commute?
• Commuting Toeplitz operators on the harmonic Bergman space
• Algebraic properties of quasihomogeneous and separately quasihomogeneous Toeplitz operators on the pluriharmonic Bergman space
• A question of Toeplitz operators on the harmonic Bergman space
• On Toeplitz operators with quasihomogeneous symbols
• Products of Toeplitz operators on the harmonic Bergman space
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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