Boundedness Of Multi-linear Maximal Singular Integral Commutators On Non-Homogeneous Spaces

In this paper, We mainly discusses the boundedness of several multilinear singular integral commutators on non-homogeneous metric measure spaces, the paper is divided into three chapters.In chapter 1, We expound the multilinear singular integral commutators’ historical background and the main work of this article.In chapter 2, We study the multilinear singular integral commutators T∑b* and proves that the boundedness of maximal operator commutators on non-homogeneous metric measure spaces by using the theory of Kolmogorov, the boundedness of T* and the inequality of Holder.In chapter 3, We study the multilinear singular integral commutators T∏b* and proves that the boundedness of maximal operator commutators T∏b* on non-homogeneous metric measure spaces by using the theory of sharp maximal operator and the nature of non-homogeneous metric measure spaces.