Finite rank commutators and semicommutators of Toeplitz operators with harmonic symbols
Guo, Kunyu ; Sun, Shunhua ; Zheng, Dechao
Illinois J. Math., Tome 51 (2007) no. 3, p. 583-596 / Harvested from Project Euclid
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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.
Publié le : 2007-04-15
Classification:  47B35,  47B47 
@article{1258138431,
     author = {Guo, Kunyu and Sun, Shunhua and Zheng, Dechao},
     title = {Finite rank commutators and semicommutators of Toeplitz operators with harmonic symbols},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 583-596},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138431}
}

Guo, Kunyu; Sun, Shunhua; Zheng, Dechao. Finite rank commutators and semicommutators of Toeplitz operators with harmonic symbols. Illinois J. Math., Tome 51 (2007) no. 3, pp.  583-596. http://gdmltest.u-ga.fr/item/1258138431/