Abstract
In this paper, we get an Lp boundedness of Fourier integral operators with rough amplitude \(a\in L^{\infty } S^{m}_{\varrho },~\) and phase \(\varphi \in L^{\infty }{\Phi }^{2}\) for \(1\leq p\leq +\infty \). This is an improvement of the corresponding results in Dos Santos Ferreira and Staubach (Mem. Amer. Math. Soc. 229, 1074, 2014).
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Yang, J., Wang, G. & Chen, W. On Lp-boundedness of Fourier Integral Operators. Potential Anal 57, 167–179 (2022). https://doi.org/10.1007/s11118-021-09910-7
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DOI: https://doi.org/10.1007/s11118-021-09910-7