Semicommutators and Zero Product of Block Toeplitz Operators with Harmonic Symbols

We completely characterize the finite rank semicommutators, commutators, and zero product of block Toeplitz operators TF and TG with F,G∈h∞⊗Mn×n on the vector valued Bergman space La2(𝔻,ℂn).

Bibliographic Details
Main Authors: Puyu Cui, Yufeng Lu, Yanyue Shi
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/656034
Description
Summary:We completely characterize the finite rank semicommutators, commutators, and zero product of block Toeplitz operators TF and TG with F,G∈h∞⊗Mn×n on the vector valued Bergman space La2(𝔻,ℂn).
ISSN:0972-6802
1758-4965