Weyl symbols and boundedness of Toeplitz operators

Lewis Coburn; Michael Hitrik; Johannes Sjostrand; Francis White

doi:10.4310/MRL.2021.V28.N3.A3

Weyl symbols and boundedness of Toeplitz operators

Lewis Coburn
, Michael Hitrik
, Johannes Sjostrand
, Francis White

Mathematics

University of California at Los Angeles
Université de Bourgogne

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	681-696
Number of pages	16
Journal	Mathematical Research Letters
Volume	28
Issue number	3
DOIs	https://doi.org/10.4310/MRL.2021.V28.N3.A3
State	Published - 2021

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title = "Weyl symbols and boundedness of Toeplitz operators",

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.",

author = "Lewis Coburn and Michael Hitrik and Johannes Sjostrand and Francis White",

year = "2021",

doi = "10.4310/MRL.2021.V28.N3.A3",

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journal = "Mathematical Research Letters",

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T1 - Weyl symbols and boundedness of Toeplitz operators

AU - Coburn, Lewis

AU - Hitrik, Michael

AU - Sjostrand, Johannes

AU - White, Francis

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85108418294

U2 - 10.4310/MRL.2021.V28.N3.A3

DO - 10.4310/MRL.2021.V28.N3.A3

M3 - Article

AN - SCOPUS:85108418294

SN - 1073-2780

VL - 28

SP - 681

EP - 696

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 3

ER -

Weyl symbols and boundedness of Toeplitz operators

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