Sarason Toeplitz product problem for a class of Fock spaces
Functional Analysis
2020-04-09 v1
Abstract
Sarason Toeplitz product problem asks when the operator TuTv 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.
Keywords
Cite
@article{arxiv.2004.04094,
title = {Sarason Toeplitz product problem for a class of Fock spaces},
author = {Helene Bommier-Hato and El Hassan Youssfi and Kehe Zhu},
journal= {arXiv preprint arXiv:2004.04094},
year = {2020}
}