Boundedness Of The Multilinear Singular Integral Operators On The Herz Type Spaces

This dissertation have two sections,we shall mainly study the boundedness of of the multilinear singular operators on weighted Morrey-Herz spaces and the Herz type hardy Spaces.The main results are as follows.Section 1,by using function decompositions and the inequalities of A_p weights,the boundedness of the multilinear singular operators is established on Weighted Morrey-Herz Spaces.Section 2,based on the atom decomposition of the Herz type Hardy space and the function decompositions,the authors established the multilinear singular integral operators T_A are bounded from Herz type Hardy spaces into Herz type spaces.