End-point estimates for iterated commutators of multilinear singular integrals.

Iterated commutators of multilinear Calderón–Zygmund operators and pointwise multiplication with functions in bounded mean oscillation 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 Calderón–Zygmund theory recently introduced in the literature. Some better than expected estimates for certain multilinear operators are presented too. [ABSTRACT FROM AUTHOR]