Toeplitz operators on the $n$-dimensional Hartogs triangle
Functional Analysis
2024-10-02 v1 Complex Variables
Abstract
We formally introduce and study Toeplitz operators on the Hardy space of the -dimensional Hartogs triangle. We find a precise relation between these operators and the Toeplitz operators on the Hardy space of the unit polydisc As an application, we deduce several properties of these operators from their polydisc counterparts. Furthermore, we show that certain results achieved for the Toeplitz operators on the -dimensional Hartogs triangle are not the same as those in the polydisc case.
Cite
@article{arxiv.2410.00791,
title = {Toeplitz operators on the $n$-dimensional Hartogs triangle},
author = {Shubham Jain and paramita pramanick},
journal= {arXiv preprint arXiv:2410.00791},
year = {2024}
}
Comments
Comments are welcome, 12 pages, accepted for publication in Journal of Operator Theory