Multilinear Fourier Multipliers with Minimal Sobolev Regularity, I

Loukas Grafakos, Hanh Van Nguyen

We find optimal conditions on $m$-linear Fourier multipliers to give rise to bounded operators from a product of Hardy spaces $H^{p_j}$, $0<p_j\le 1$, to Lebesgue spaces $L^p$. The…