On the boundedness of periodic Fourier integral operators in Lebesgue spaces with variable exponent

2024/10/21 by Boukary Tai, Mohamed Congo, Tai, Boukary +5
Mathematics · #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2410.16085

openalex publication_date 2024/10/21 · openalex created_date 2024/11/12 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to investigate the boundedness of periodic Fourier integral operators in Lebesgue spaces with variable exponent L^p(⋅) on the n-dimensional torus. We deal with operators of type (ρ, δ) which symbols belong to the Hörmander class S^m_{ρ, δ}(\mathbbTⁿ×ℤⁿ) for 0≤δ<ρ≤1.

Related

• L^p-bounds for Fourier integral operators on the torus
• Fourier inequalities in variable Lebesgue spaces
• L^p-boundedness of multi-parameter Fourier integral operators
• On singular integral operators with semi-almost periodic coefficients on variable Lebesgue spaces
• A class of multi-parameter Fourier integral operators: endpoint Hardy space bounds