On Lp-boundedness of Fourier Integral Operators

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).