On The Boundedness Of Some Multilinear Singular Integrals

In this thesis, the boundedness of some kinds of multilinear singular integral operatorsand commutators is obtained. This thesis contains four chapters.The first chapter is the preface of this thesis, where we state the background of ourresearch and the related definitions and results.In the second chapter, we mainly focus on the behavior of some multilinear singularintegral operators which is more generous than C-Z operator. we get the strong and weakboundedness of this kind of operator on weighted Herz-Morrey spaces.In the third chapter, we study a kind of multilinear singular integral operators definedonΩ×Ω×...×Ω, whereΩis any open set in Rn. And we get the boundedness of thiskind of operator on variable exponent Lebesgue and Morrey spaces.In the last chapter, we get the boudedness of a kind of multilinear commutators withrough kernel onλcentral morrey spaces.