Toeplitz operators defined by sesquilinear forms: Bergman space case
Complex Variables
2016-05-24 v1 Functional Analysis
Abstract
The definition of Toeplitz operators in the Bergman space of square integrable analytic functions in the unit disk in the complex plane is extended in such way that it covers many cases where the traditional definition does not work. This includes, in particular, highly singular symbols such as measures, distributions, and certain hyper-functions.
Cite
@article{arxiv.1605.06683,
title = {Toeplitz operators defined by sesquilinear forms: Bergman space case},
author = {Grigori Rozenblum and Nikolai Vasilevski},
journal= {arXiv preprint arXiv:1605.06683},
year = {2016}
}