多线性分数次积分算子在Hardy空间上的有界性

Boundedness of the multilinear fractional integral operators on the Hardy spaces

主要研究了多线性分数次积分算子在Hardy空间上的有界性.通过Hardy空间上的原子分解及H lder不等式,得到了双线性分数次积分算子及三重多线性分数次积分算子从Hardy空间到Lebesgue空间上的有界性及端点估计.研究成果推广了一些已知的结论.

It was considered the boundedness of the multilinear fractional integral operators on the Hardy space.By virtue of the atomic decomposition of the Hardy space and H lder inequality,the boundedness of bilinear fractional integral operators and triple multilinear fractional integral operators on Hardy space was obtained.The results extended some known conclusions.