  We consider some bilinear Fourier multiplier operators and give a bilinear
version of Seeger, Sogge, and Stein's result for Fourier integral operators.
Our results improve, for the case of Fourier multiplier operators,
Rodr\'iguez-L\'opez, Rule, and Staubach's result for bilinear Fourier integral
operators. The sharpness of the results is also considered.
