Bilinear pseudo-differential operators with exotic symbols, II

The boundedness from H-p x L-2 to L-r, 1/p+1/2 = 1/r, and from H-p x L-infinity to L-p of bilinear pseudo-differential operators is proved under the assumption that their symbols are in the bilinear Hormander class BS rho,rho m, 0 <= rho < 1, of critical order m, where H-p is the Hardy space. This combined with the previous results of the same authors establishes the sharp boundedness from H-p x H-q to L-r, 1/p + 1/q = 1/r, of those operators in the full range 0 < p,q <= infinity, where L-r is replaced by BMO if r = infinity.