Abstract
In this paper we completely characterize finite rank semicommutator or commutator of two Toeplitz operators with bounded harmonic symbols on the Bergman space. We show that if the product of two Toeplitz operators with bounded harmonic symbols has finite rank, then one of the Toeplitz operators must be zero.
Citation
Kunyu Guo. Shunhua Sun. Dechao Zheng. "Finite rank commutators and semicommutators of Toeplitz operators with harmonic symbols." Illinois J. Math. 51 (2) 583 - 596, Summer 2007. https://doi.org/10.1215/ijm/1258138431
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