Research On Multilinear Commutators Of Sublinear Integral Operator

In this paper, we mainly study the boundedness of the multilinear commutator D(?) related to certain sublinear integral operator D and locally integrable functions (?). The integral operator include the Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.In chapter 1, we briefly introduced the research status of this paper,the main works of the papaer and the preliminary notes.In chapter 2, we studied the sharp estimate for the multilinear commutator D(?) . Suppose that D is bounded on Lq(Rn) for all 1