摘要
将Ｒｎ上的位势算子的概念推广到Ｒｎ＋１＋上，定义了将Ｒｎ上的函数映为Ｒｎ＋１＋上的函数的位势算子，建立了它的加权强型和弱型有界性，同时还给出了它的一些应用．
The potential operators on R n are extended on R n+1 +,the potential operators mapping the functions on R n into the ones on R n+1 + are defined,and the weighted strong and weak type boundedness for the operations are obtained,some applications are given.
关键词
位势算子
加权有界性
偏微分方程
空间理论
Potential operator Weighted strong type boundedness Weighted weak type boundedness
