Products of Toeplitz operators on the Bergman space

Authors
Ahern, P Cuckovic, Z
Citation
P. Ahern et Z. Cuckovic, Products of Toeplitz operators on the Bergman space, ILL J MATH, 45(1), 2001, pp. 113-121
Citations number
10
Categorie Soggetti
Mathematics
Journal title
ILLINOIS JOURNAL OF MATHEMATICS
ISSN journal
00192082 → ACNP
Volume
45
Issue
1
Year of publication
2001
Pages
113 - 121
Database
ISI
SICI code
0019-2082(200121)45:1<113:POTOOT>2.0.ZU;2-V
Abstract
We consider the problem of determining when the product of two Bergman spac e Toeplitz operators is a Toeplitz operator. In particular, in the case of the zero product TfTg = 0, we give some conditions that guarantee only the trivial solution.