Products of Toeplitz operators on the Bergman space

Ahern, Patrick; Čučković, željko

Illinois J. Math., Tome 45 (2001) no. 4, p. 113-121 / Harvested from Project Euclid

Résumé

We consider the problem of determining when the product of two Bergman space Toeplitz operators is a Toeplitz operator. In particular, in the case of the zero product $T_fT_g=0$, we give some conditions that guarantee only the trivial solution.

Publié le : 2001-01-15
Classification: 47B35, 47B38

@article{1258138257,
     author = {Ahern, Patrick and \v Cu\v ckovi\'c, \v zeljko},
     title = {Products of Toeplitz operators on the Bergman space},
     journal = {Illinois J. Math.},
     volume = {45},
     number = {4},
     year = {2001},
     pages = { 113-121},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138257}
}

Ahern, Patrick; Čučković, željko. Products of Toeplitz operators on the Bergman space. Illinois J. Math., Tome 45 (2001) no. 4, pp.  113-121. http://gdmltest.u-ga.fr/item/1258138257/