The Boundedness Of Multilinear Square Operator And Its Commutators On Some Spaces

In this paper,we study the boundedness for m-linear commutator and iterated commutator of miltilinear square operator.The contents are organized as follows.Chapter 1 introduces the background of multilinear square operator and its commutators.At the same time,the conclusions are given in this thesis.Chapter 2 presents the boundedness for m-linear commutator of miltilinear square operator on some spaces.Chapter 3 presents the boundedness for iterated commutator of miltilinear square operator on some spaces.