Boundedness Of Multilinear Singular Integral Operators In Herz-morrey Spaces With Variable Smoothness And Integrability Boundedness Of Multilinear Singular Integral Operators In Herz-morrey Spaces With Variable Smoothness And Integrability

The dissertation is devoted to the boundedness of multilinear Calder?on-Zygmund operators on products of Herz-Morrey spaces with variable exponents and its application.The plan is the following:In Chapter 1,there are the literature review,definitions,notations and the statement of main results.In Chapter 2,A vector-valued multilinear Calder?on-Zygmund operator and their commutators with BMO functions are bounded is proved to be bounded on products of Herz-Morrey spaces with variable smoothness and interability.The vector-valued setting of multilinear Calder?on-Zygmund operators is also considered.