Weighted Norm Inequalities For Some Multilinear Operators

In this thesis,we study weighted norm inequalities for some multilinear operators and com mutators.The contents are organized as followsIn chapter 1,we introduce the development of multilinear strongly singular Calderon-Zygmund operators and multilinear square operators.At the same time,we also give the main results of this thesisIn chapter 2,we study the boundedness of the multilinear commutators Tb on product of weighted Lebesgue spaces,where the multilinear commutators are generated by multilinear strongly singular Calderon-Zygmund operators and weighted Lipschitz or BMO functions,respectivelyIn chapter 3,we study the boundedness of the multilinear commutators Tb on product of weighted Lebesgue spaces,where the multilinear commutators are generated by multilinear square operators and weighted Lipschitz or BMO functions,respectivelyIn chapter 4,we establish the boundedness of multilinear square operators with non-smooth kernels on the product of BMO spaces,product of LMO spaces,and product of ?-central BMO spaces,respectively.