The following iterated commutators of the maximal operator for multilinear singular integral operators and of the multilinear fractional integral operator are introduced and studied:
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where are the smooth truncations of the multilinear singular integral operators and is the multilinear fractional integral operator, for i = 1,…,m and f⃗ = (f1,…,fm). Weighted strong and L(logL) type end-point estimates for the above iterated commutators associated with two classes of multiple weights,...