Weak and strong type weighted estimates for multilinear Calderon-Zygmund operators

In this paper, we study the weighted estimates for multilinear Calderon-Zygmund operators from L-Pi (w(1)) x ... x L-pm (w(m)) to L-p(v (w) over right arrow), where 1 < p, p1, ... , p(m) < infinity with 1/p(1) + ... + 1/p(m) = 1/p and (w) over right arrow = (w(1), .... w(m)) is a multiple A((P) over right arrow) weight. We give weak and strong type weighted estimates of mixed Ap -> A(infinity) type. Moreover, the strong type weighted estimate is sharp whenever max(i) p(i) <= P'(mp - 1). (C) 2013 Elsevier Inc. All rights reserved.