Boundedness of Generalized Commutators with Dini Type Multilinear Maximal Calder′on-Zygmund Operators andLipschitz Functions

设T是核满足Dini条件的多线性奇异积分算子，T∗是T的极大算子。T∗b,S是T∗与一类可测函数{bi}∞i=1生成的广义交换子。本文讨论了当{bi}∞i=1属于Lipschitz空间，T∗b,S在Lebesgue 空间的有界性。Let T be an m-linear Calder´on-Zygmund operator with kernel satisfying Dini-type condition, T∗be the maximal operator of T. T∗b,Sis the generalized commutator of T∗ with a class of measurable functions {bi}∞i=1.In this paper, we discuss the boundedness of T∗b,S on Lebesgue spaces when {bi}∞i=1 belongs to Lipschitz spaces.