Weyl symbols and boundedness of Toeplitz operators
Functional Analysis
2019-07-16 v1 Complex Variables
Abstract
We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of inhomogeneous quadratic polynomials. It is shown that the boundedness of such operators is implied by the boundedness of the corresponding Weyl symbols.
Keywords
Cite
@article{arxiv.1907.06132,
title = {Weyl symbols and boundedness of Toeplitz operators},
author = {Lewis Coburn and Michael Hitrik and Johannes Sjoestrand and Francis White},
journal= {arXiv preprint arXiv:1907.06132},
year = {2019}
}