The Boundedness Of Multilinear Fractional Integrals On Non-homogeneous Metric Measure Spaces

In the recent paper, we study the boundedness of multilinear fractional integrals on the non-homogeneous metric measure space. The paper is constituted with four chapters.In chapter 1, we introduce the background and main results about multilinear fractional inte-grals. Besides, we also simply illustrate how and why this topics comes out and the results in this paper.In chapter 2, we present Lq estimates for the multilinear fractional integral Iα,m on the non-homogeneous space.In chapter 3, we consider the endpoint estimates for the generalized multilinear fractional integrals on the non-homogeneous space.In chapter 4, we discuss the multilinear fractional integrals associated with Lip(β) and RBMO(μ) on the non-homogeneous space.