多线性分数次积分算子交换子的双权弱型不等式

Weighted Inequalities for Commutators of Multilinear Fractional Integral Operators

多线性分数次积分算子定义为利用分数次Orlicz极大算子和sharp函数,得到了多线性分数次积分算子交换子的双权弱(p,p)型不等式成立的充分条件.

Multilinear commutators with vector symbol b =（b_1,b_2,…,b_m） defined by are considered.By introducing the fractional Orlicz maximal operator and using the technique of the sharp function,a sufficient condition for two-weight,weak-type（p,p） inequalities for multilinear commutators of fractional integral operators is obtained.