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arXiv · 1807.09892

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

Duván Cardona·Rekia Messiouene·Abderrahmane Senoussaoui
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Abstract

In this paper we investigate the mapping properties of periodic Fourier integral operators in $L^p(\mathbb{T}^n)$-spaces. The operators considered are associated to periodic symbols (with limited regularity) in the sense of Ruzhansky and Turunen.

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Duván Cardona, Rekia Messiouene, Abderrahmane Senoussaoui. 2018-07-25. $L^p$-bounds for Fourier integral operators on the torus. https://arxiv.org/abs/1807.09892

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