The Boundedness Of The Commutators Of Singular Integral With H(m)-kernel

In this paper, we mainly discuss the boundedness of the commutators of singular integral withH（m）-kernel.In chapter1,we introduces the backgrounds and the main results of the commutators ofsingular integral with H|^m-kernel.In chapter2, we study the two Lipchitz estimates for the commutator of singular integral withH（m）-kernel.In chapter3, we study the Toeplitz type operator associated to some singular integral withH（m）-kernel operator.In chapter4, we study the boundedness of the commutators of singular integral with H（m）-kernel on the weighted Morrey spaces.