Estimates for some bilinear wave operators

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, Rodríguez-López, Rule, and Staubach’s result for bilinear Fourier integral operators. The sharpness of the results is also considered.