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arXiv:1907.06132 [math.FA]AbstractReferencesReviewsResources

Weyl symbols and boundedness of Toeplitz operators

Lewis Coburn, Michael Hitrik, Johannes Sjoestrand, Francis White

Published 2019-07-13Version 1

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.

Categories: math.FA, math.CV
Subjects: 32U05, 32W25, 35S30, 47B35
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