Cowen's class and Thomson's class
Complex Variables
2014-01-15 v2
Abstract
In studying commutants of analytic Toeplitz operators, Thomson proved a remarkable theorem which states that under a mild condition, the commutant of an analytic Toeplitz operator is equal to that of Toeplitz operator defined by a finite Blaschke product. Cowen gave an significant improvement of Thosom's result. In this paper, we will present examples in Cowen's class which does not lie in Thomson's class.
Keywords
Cite
@article{arxiv.1312.7498,
title = {Cowen's class and Thomson's class},
author = {Kunyu Guo and Hansong Huang},
journal= {arXiv preprint arXiv:1312.7498},
year = {2014}
}
Comments
14 pages, 2 figures