Commutants of Analytic Toeplitz Operators on the Bergman Space
Functional Analysis
2007-05-23 v1
Abstract
In this note we show that if two Toeplitz operators on a Bergman space commute and the symbol of one of them is analytic and nonconstant, then the other one is also analytic.
Cite
@article{arxiv.math/9808066,
title = {Commutants of Analytic Toeplitz Operators on the Bergman Space},
author = {Sheldon Axler and Zeljko Cuckovic and N. V. Rao},
journal= {arXiv preprint arXiv:math/9808066},
year = {2007}
}
Comments
5 pages. For more information, see http://math.sfsu.edu/axler/Commutants.html