位势型算子多线性交换子的双权不等式

Two-weight Inequalities for Multilinear Commutators of Potential Type Operators

设Φ是Rn上满足弱增长条件的非负局部可积函数,得到了由Φ生成的位势型算子TΦ的一类多线性交换子的双权赋范不等式.

Let Ф be a non-negative locally integrable function on R^n that satisfies weak growth condi- tion. We obtains the two-weight normed inequality for the multilinear commutators of potential type inte- gral operator TФ.