Characterizing Boundedness of Metaplectic Toeplitz Operators
Characterizing Boundedness of Metaplectic Toeplitz Operators
Abstract We study Toeplitz operators on the Bargmann space, with Toeplitz symbols given by exponentials of complex quadratic forms. We show that the boundedness of the corresponding Weyl symbols is necessary for the boundedness of the operators, thereby completing the proof of the Berger–Coburn conjecture in this case. We also …