Commutants of Analytic Toeplitz Operators on the Bergman Space
arXiv:math/9808066
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.
5 pages. For more information, see http://math.sfsu.edu/axler/Commutants.html