Abstract

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.

Keywords: $h$-Fourier integral operators; symbol and phase; $L^p$-boundedness.

MSC: 35S30

Pages:  189$-$203     

Volume  70 ,  Issue  3 ,  2018