Toeplitz-type operators associated to pseudodifferential operators

Dazhao Chen

doi:10.1216/rmj.2022.52.65

Abstract

We introduced certain Toeplitz-type operator associated to the pseudodifferential operator and obtained the boundedness of the Toeplitz-type operator from Lebesgue space to Orlicz space by using some sharp inequalities.

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Dazhao Chen. "Toeplitz-type operators associated to pseudodifferential operators." Rocky Mountain J. Math. 52 (1) 65 - 76, February 2022. https://doi.org/10.1216/rmj.2022.52.65

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Received: 20 March 2020; Revised: 30 April 2021; Accepted: 5 May 2021; Published: February 2022

First available in Project Euclid: 19 April 2022

MathSciNet: MR4409917

zbMATH: 1487.42031

Digital Object Identifier: 10.1216/rmj.2022.52.65

Subjects:

Primary: 42B20

Secondary: 42B25

Keywords: BMO space , Orlicz space , pseudodifferential operator , Toeplitz-type operator

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