A generalization of the Brown-Halmos theorems for the unit ball

DOI10.1016/j.aim.2022.108411OpenAlexW3120015228WikidataQ113880976 ScholiaQ113880976MaRDI QIDQ2671898

Trieu Le, Akaki Tikaradze

Publication date: 3 June 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03937

zbMATH Keywords

Bergman spaceToeplitz operatorsBrown-Halmos theoremszero-product problems

Mathematics Subject Classification ID

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

Related Items (1)

Brown-Halmos type theorems of Toeplitz+Hankel operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Commutators and semi-commutators of Toeplitz operators on the unit ball
• Toeplitz products with pluriharmonic symbols on the Hardy space over the ball
• Finite rank Bergman-Toeplitz and Bargmann-Toeplitz operators in many dimensions
• Finite sums of Toeplitz products on the polydisk
• Commuting Toeplitz operators with harmonic symbols
• Finite rank commutators and semicommutators of quasihomogeneous Toeplitz operators
• Products of Bergman space Toeplitz operators on the polydisk
• Sums of Toeplitz products with harmonic symbols
• The commutants of certain Toeplitz operators on weighted Bergman spaces
• Bicommutants of Toeplitz operators
• On higher dimensional Luecking's theorem
• Finite rank Toeplitz operators: Some extensions of D.\,Luecking's theorem
• \(\mathcal M\)-harmonic products
• An invariant volume-mean-value property
• The range of the Berezin transform
• Dynamics of properties of Toeplitz operators with radial symbols
• On the range of the Berezin transform
• On the commutativity of a certain class of Toeplitz operators
• Commutator and semicommutator of two monomial-type Toeplitz operators on the unit polydisk
• Finite rank commutators and semicommutators of Toeplitz operators with harmonic symbols
• A theorem of Brown-Halmos type on the Bergman space modulo finite rank operators
• Finite rank perturbations of Toeplitz operators
• Zero products of Toeplitz operators with harmonic symbols
• Commuting Toeplitz operators with pluriharmonic symbols
• Spaces of Holomorphic Functions in the Unit Ball
• Algebraic properties of Toeplitz operators on weighted Bergman spaces
• Finite rank Toeplitz operators on the Bergman space
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

This page was built for publication: A generalization of the Brown-Halmos theorems for the unit ball