Weighted Sharp Maximal Function Inequalities and Boundedness of Multilinear Singular Integral Operator with Variable Calder\'on-Zygmund Kernel

Abstract

In this paper, we establish the weighted sharp maximal function inequalities for the multilinear operator associated to the singular integral operator with variable Calder\'on-Zygmund kernel. As an application, we obtain the boundedness of the operator on weighted Lebesgue spaces.