On compactness of products of Toeplitz operators

DOI10.1007/s11785-024-01625-yMaRDI QIDQ6658823

Sonmez Sahutoglu, Tomas Miguel Rodriguez, Trieu Le

Publication date: 8 January 2025

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Bergman spacepolydiscToeplitz operatorcompact

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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• A reproducing kernel thesis for operators on Bergman-type function spaces
• Finite sums of Toeplitz products on the polydisk
• Zero products of Toeplitz operators with \(n\)-harmonic symbols
• Compact Toeplitz operators via the Berezin transform on bounded symmetric domains
• A local weighted Axler-Zheng theorem in \(\mathbb{C}\)n
• The essential norm of operators on \({A^p_\alpha(\mathbb{B}_n)}\)
• Axler-Zheng type theorem on a class of domains in \(\mathbb C^n\)
• On Toeplitz operators on Bergman spaces of the unit polydisk
• Compact operators via the Berezin transform
• Zero products of Toeplitz operators on Reinhardt domains
• The essential norm of operators in the Toeplitz algebra on $A^p(B_n)$
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators
• Compactness of Toeplitz operators with continuous symbols on pseudoconvex domains in \(\mathbb{C}^n\)

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