Weighted estimates for maximal commutators of multilinear singular integrals (Q1757899)

Summary: This paper is concerned with the pointwise estimates for the sharp function of the maximal multilinear commutators \(T^\ast_{\Sigma b}\) and maximal iterated commutator \(T^\ast_{\Pi b}\), generalized by \(m\)-linear operator \(T\) and a weighted Lipschitz function \(b\). The \((L^{p_1}(\mu) \times \cdots \times L^{p_m}(\mu), L^r(\mu^{1-r}))\) boundedness and the \((L^{p_1}(\mu) \times \cdots \times L^{p_m}(\mu), L^r(\mu^{1-mr}))\) boundedness are obtained for maximal multilinear commutator \(T^\ast_{\Sigma b}\) and maximal iterated commutator \(T^\ast_{\Pi b}\), respectively.