Weyl symbols and boundedness of Toeplitz operators

Published 13 Jul 2019 in math.FA and math.CV | (1907.06132v1)

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.

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