4.2 Article

Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space

Journal

COMPLEX ANALYSIS AND OPERATOR THEORY
Volume 16, Issue 1, Pages -

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s11785-021-01187-3

Keywords

Fock space; Toeplitz operator; Localization operator; Time-frequency

Funding

  1. CRUE-CSIC
  2. Springer Nature.

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We obtain an estimate for the norm of selfadjoint Toeplitz operators with a radial, bounded and integrable symbol, highlighting that the norm of such operator is strictly less than the supremum norm of the symbol. Consequences for time-frequency localization operators are also discussed.
An estimate for the norm of selfadjoint Toeplitz operators with a radial, bounded and integrable symbol is obtained. This emphasizes the fact that the norm of such operator is strictly less than the supremum norm of the symbol. Consequences for time-frequency localization operators are also given.

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