On self-commutators of Toeplitz operators with rational symbols
Volume 179 / 2007
Studia Mathematica 179 (2007), 41-47
MSC: Primary 32A36; Secondary 47B35, 47B38.
DOI: 10.4064/sm179-1-4
Abstract
We prove that the self-commutator of a Toeplitz operator with unbounded analytic rational symbol has a dense domain in both the Bergman space and the Hardy space of the unit disc. This is a basic step towards establishing whether the self-commutator has a compact or trace-class extension.
