On self-commutators of Toeplitz operators with rational symbols
Sherwin Kouchekian ; James E. Thomson
Studia Mathematica, Tome 178 (2007), p. 41-47 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:284815 
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Sherwin Kouchekian; James E. Thomson. On self-commutators of Toeplitz operators with rational symbols. Studia Mathematica, Tome 178 (2007) pp. 41-47. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm179-1-4/