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arXiv · 1910.05824

Global boundedness of multilinear Fourier integral operators

Salvador Rodriguez-Lopez·David Rule·Wolfgang Staubach
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Abstract

We establish global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on product of $L^p$ spaces by proving endpoint boundedness on suitable products spaces containing combinations of the local Hardy space, the local BMO and the $L^2$ spaces.

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Salvador Rodriguez-Lopez, David Rule, Wolfgang Staubach. 2019-10-13. Global boundedness of multilinear Fourier integral operators. https://arxiv.org/abs/1910.05824

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