摘要
该文讨论了Lebesgue空间上多线性分数次积分算子的有界性,通过将多线性分数次积分转化为相对应的分数次积分来考虑,得到算子TΩ,α,A1,A2和MΩ,α,A1,A2的Hardy-Littlewood- Sobolev定理的弱型结果,并得到一种简明的方法．
In this paper, the author discusses that the boundedness for a class of multilinear fractional integral on Lebesgue spaces. It is obtained that the weak type Hardy-Littlewood- Sobolev Theorem on the operatorsTΩ,α,A1,A2 and MΩ,α,A1,A2 simple way is obtained that is closely linked with a class of fractional integral operator.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2006年第3期449-457,共9页
Acta Mathematica Scientia
基金
浙江省自然科学基金(M103069)浙江省教育厅科研基金(20021022)资助
