We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r = 1 for which these operators map products of Lebesgue spaces Lp(Rn) into the Hardy spaces Hr(Rn). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.
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