Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778777 | Bulletin des Sciences Mathématiques | 2017 | 32 Pages |
Abstract
Sarason's Toeplitz product problem asks when the operator TuTvâ¾ is bounded on various Hilbert spaces of analytic functions, where u and v are analytic. The problem is highly nontrivial for Toeplitz operators on the Hardy space and the Bergman space (even in the case of the unit disk). In this paper, we provide a complete solution to the problem for a class of Fock spaces on the complex plane. In particular, this generalizes an earlier result of Cho, Park, and Zhu.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Hélène Bommier-Hato, El Hassan Youssfi, Kehe Zhu,