  Iterated commutators of multilinear Calderon-Zygmund operators and pointwise
multiplication with functions in $BMO$ are studied in products of Lebesgue
spaces. Both strong type and weak end-point estimates are obtained, including
weighted results involving the vectors weights of the multilinear
Calderon-Zygmund theory recently introduced in the literature. Some better than
expected estimates for certain multilinear operators are presented too.
