End-Point Estimates for Iterated Commutators of Multilinear Singular Integrals

Abstract

Iterated commutators of multilinear Calderón-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 Calderón-Zygmund
theory recently introduced in the literature. Some better than expected estimates for certain multilinear operators are presented too.