Finite rank Toeplitz products with harmonic symbols

DOI10.1016/j.jmaa.2008.01.019zbMath1204.32003OpenAlexW2080284328MaRDI QIDQ2427247

Hyungwoon Koo, Young Joo Lee, Boo Rim Choe

Publication date: 8 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.01.019

zbMATH Keywords

Bergman spaceToeplitz operatorfinite rankharmonic symbol

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Finite rank product theorems for Toeplitz operators on the half-space ⋮ Unnamed Item ⋮ Finite rank products of Toeplitz operators on the harmonic Bergman space ⋮ Algebraic properties of Toeplitz operators on the pluriharmonic Bergman space ⋮ Hankel operators with pluriharmonic symbols on Hardy-Sobolev spaces ⋮ Kernels and ranks of Hankel operators on the Dirichlet spaces ⋮ Toeplitz products with pluriharmonic symbols on the Hardy space over the ball

Cites Work

• Products of Bergman space Toeplitz operators on the polydisk
• Zero products of Toeplitz operators with \(n\)-harmonic symbols
• Sums of Toeplitz products with harmonic symbols
• Compact Toeplitz operators via the Berezin transform on bounded symmetric domains
• Finite rank commutators and semicommutators of Toeplitz operators with harmonic symbols
• Zero products of Toeplitz operators with harmonic symbols
• Holomorphic Lipschitz Functions in Pseudoconvex Domains
• Compact operators via the Berezin transform
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators
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