Invertibility of Toeplitz operators with polyanalytic symbols
Functional Analysis
2018-12-27 v2 Complex Variables
Abstract
Given a polyanalytic function, we show that the corresponding Toeplitz operator on the Bergman space of the unit disc can be expressed as a quotient of certain differential operators with holomorphic coefficients. This enables us to obtain several operator theoretic results including a criterion for invertibility of a Toeplitz operator.
Cite
@article{arxiv.1702.05772,
title = {Invertibility of Toeplitz operators with polyanalytic symbols},
author = {Akaki Tikaradze},
journal= {arXiv preprint arXiv:1702.05772},
year = {2018}
}
Comments
7 pages, revised version, all comments welcome