The boundedness of bilinear Fourier integral operators on $L^2\times L^2$

نویسندگان

1 Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran1, Ahmed Ben Bella. B.P. 1524 El M'naouar, Oran, Algeria

2 Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran1, Ahmed Ben Bella. B.P. 1524 El M'naouar, Oran, Algeria

doi
10.22075/ijnaa.2022.24800.2831
چکیده

In this paper, the regularity of bilinear Fourier integral operators on $L^2\times L^2$ are determined in the framework of Besov spaces. Our result improves the $L^2\times L^2\rightarrow L^1$ boundedness of those operators with symbols in the bilinear Hormander classes.