Limited smoothness conditions with mixed norms for bilinear Fourier multipliers

Akihiko Miyachi, Naoto Shida, Naohito Tomita

In this paper, the $L^2\times L^{\infty }\to L^2$ and $L^2\times L^2\to L^1$ boundedness of bilinear Fourier multiplier operators is discussed under weak smoothness conditions o…