本刊英文版Vol.33(2017),No.2论文摘要（英文）

<正>L~p Estimates for Bi-parameter and Bilinear Fourier Integral Operators Qing HONG Lu ZHANG Abstract Fourier integral operators play an important role in Fourier analysis and partial differential equations.In this paper,we deal with the boundedness of the bilinear and biparameter Fourier integral operators,which are motivated by the study of one-parameter FIOs and bilinear and bi-parameter Fourier multipliers and pseudo-differential operators.We consider such FIOs when they have compact support in spatial variables.If they contain a real-valued phaseφ(x,ξ,η)which is jointly homogeneous in the frequency variablesξ,η,and amplitudes of order zero supported away from the axes and the anti-diagonal,we can show that the boundedness holds in the local-L~2 case.Some stronger boundedness results are also obtained under more