Product of quasihomogeneous Toeplitz operators on the pluriharmonic Bergman space of the polydisk

DOI10.1215/20088752-2018-0004zbMath1482.47052OpenAlexW2884847904WikidataQ129500396 ScholiaQ129500396MaRDI QIDQ1738204

Xing-Tang Dong, Cao Jiang, Ze-Hua Zhou

Publication date: 29 March 2019

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1547629219

zbMATH Keywords

Toeplitz operatorsweighted pluriharmonic Bergman spacequasihomogeneous symbolunit polydisk

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Bergman spaces of functions in several complex variables (32A36)

Cites Work

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• Quasihomogeneous Toeplitz operators on the harmonic Bergman space
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• Commutator and semicommutator of two monomial-type Toeplitz operators on the unit polydisk
• Product equivalence of quasihomogeneous Toeplitz operators on the harmonic Bergman space
• Products of Toeplitz operators on the harmonic Bergman space
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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