Lp-bounds for Fourier integral operators on the torus

Duván Cardona; Rekia Messiouene; Abderrahmane Senoussaoui

doi:10.1080/17476933.2022.2124981

L^p-bounds for Fourier integral operators on the torus

Duván Cardona
, Rekia Messiouene^*
, Abderrahmane Senoussaoui

^*Corresponding author for this work

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

1 Scopus citations

Abstract

In this paper, we investigate the mapping properties of periodic Fourier integral operators in (Formula presented.) -spaces. The operators are considered associated to periodic symbols (with limited regularity) in the sense of Ruzhansky and Turunen.

Original language	English
Pages (from-to)	252-269
Number of pages	18
Journal	Complex Variables and Elliptic Equations
Volume	69
Issue number	2
DOIs	https://doi.org/10.1080/17476933.2022.2124981
State	Published - 2024
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2022 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

42B05
Fourier integral operators
global analysis
Lp-spaces
Primary: 58J40
pseudo-differential operators
Secondary: 35S05
torus

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1080/17476933.2022.2124981

Cite this

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abstract = "In this paper, we investigate the mapping properties of periodic Fourier integral operators in (Formula presented.) -spaces. The operators are considered associated to periodic symbols (with limited regularity) in the sense of Ruzhansky and Turunen.",

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AU - Senoussaoui, Abderrahmane

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KW - global analysis

KW - Lp-spaces

KW - Primary: 58J40

KW - pseudo-differential operators

KW - Secondary: 35S05

KW - torus

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