hp Estimates for multilinear pseudo-differential operators with flag symbols

In this paper, we establish the h(p1)x & ctdot;xh(pN)-> L-p (0<pi <=infinity for i=1,2,& mldr;,N) estimate for N-linear pseudo-differential operators, where the symbols are given by the product of two standard symbols in multilinear H & ouml;rmander class N-S-1,delta(0). Such product-type symbols are motivated by the flag Fourier multipliers studied by Muscalu [35], [36], and we consider its multilinear analogue in pseudo-differential setting. Our arguments are also inspired by Miyachi, Tomita [34] and Chen, Huang, Lu in [6].