The Boundedness Of Multilinear Square Operator And Its Commutators

In this paper,we study the boundedness of multilinear square operator and its commutators.The contents are arranged as follows.In chaptar 1,we introduce the background and main results about multilinear square operator and its commutators,Meanwhile,the results are given in this thesis.ln chapter 2,we present the two weighted norm inequalities for commutators of multilinear square operator with Dini's type kernels.In chapter 3,we consider weighted norm inequalities of multilinear square operator and its iterated commutators.