Mathematical Research Letters
Volume 28 (2021)
Weyl symbols and boundedness of Toeplitz operators
Pages: 681 – 696
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.
J.S. acknowledges support from the 2018 Stefan Bergman award.
Received 13 July 2019
Accepted 20 March 2020
Published 2 June 2021