多线性位势型算子的一类加权不等式

Some weighted inequalities for multi-linear potential type operators

设Φ是Rn上满足弱增长条件的非负局部可积函数,A是Rn上所有一阶偏导数都属于BMO(Rn)的函数.本文讨论由Φ与A生成的一类多线性位势型算子TAΦ与其极大函数相联系的关于任意权的加权不等式。

In definition,let Φ be a non-negative locally integral function on Rn and satisfy weak growth condition,and Abe a function on Rn with derivatives of order one in BMO（Rn）.Considering the multi-linear potential type integral operator TAΦ generated by Φ and A,this paper discusses the weighted inequalities of arbitrary weight for TAΦ associated with its maximal function.