Estimates for a certain bilinear Fourier integral operator

The boundedness of bilinear Fourier integral operators with certain non-degenerate phase functions is proved, which is a bilinear version of Seeger, Sogge, and Stein’s theorem concerning the \(L^p\) $L^p$ boundedness of Fourier integral operators. Our result gives an improvement of the result of Rodríguez-López, Rule, and Staubach proved in 2014.