On the $L^p$ boundedness of semiclassical Fourier integral operators


O. Elong, A. Senoussaoui




In this paper, we investigate the $L^p$-boundedness of semiclassical Fourier integral operators defined by symbols $a(x,\xi)$ which behave in the spatial variable $x$ like $L^p$ functions and are smooth in the $\xi$ variable.