Sharp Maximal function estimates for Multilinear pseudo-differential operators of type (0,0)

In this paper, we study sharp maximal function estimates for multilinear pseudo-differential operators. Our target is operators of type (0, 0) for which a differentiation does not make any decay of the associated symbol. Analogous results for operators of type (ρ, ρ), 0 < ρ< 1, appeared in an earlier work of the authors, but a different approach is given for ρ= 0