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

Abstract: 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 (\rho, \rho), 0 < \rho < 1, appeared in an earlier work of the authors, but a different approach is given for \rho = 0