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arXiv · 2410.16085

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

Boukary Tai·Mohamed Congo·Marie Françoise Ouedraogo·Arouna Ouedraogo
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Abstract

The aim of this paper is to investigate the boundedness of periodic Fourier integral operators in Lebesgue spaces with variable exponent $L^{p(\cdot)}$ on the $n$-dimensional torus. We deal with operators of type $(\rho, \delta)$ which symbols belong to the H\"{o}rmander class $S^{m}_{\rho, \delta}(\mathbb{T}^{n}\times\mathbb{Z}^{n})$ for $0\leq\delta<\rho\leq1.$

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Boukary Tai, Mohamed Congo, Marie Françoise Ouedraogo, Arouna Ouedraogo. 2024-10-21. On the boundedness of periodic Fourier integral operators in Lebesgue spaces with variable exponent. https://arxiv.org/abs/2410.16085

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