多线性位势型算子的双权弱型不等式

Two Weights Weak Inequalities for the Multilinear Potential Type Operators

设K为Rn上的非负局部可积函数,且满足某弱增长条件,A是Rn上的函数,且其所有的一阶偏导数都属于PBMO(Rn).给出了由K与A定义的多线性位势型积分算子TAK的双权弱型(p,q)不等式.

Let Kbe a non-negative and locally integrable function on Rn,which satisfies a weak growth condition.Let Abe a function defined on Rn,whose all derivatives of order one belong to the space PBMO.In this paper,we get a two weights weak inequality for the multilinear potential type operators TAK.