Sharp constants for a class of multilinear integral operators and some applications

被引：0
作者：
Di Wu
DunYan Yan
机构：
[1] Sun Yat-Sen University,School of Mathematics and Computational Science
[2] University of Chinese Academy of Sciences,School of Mathematics
来源：
Science China Mathematics | 2016年 / 59卷
关键词：
best constants; multilinear integral operator; Hardy operator; Hardy-Littlewood-Sobolev inequality; 42B25; 42B35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate a class of multilinear integral operators with the nonnegative kernels, and prove that the norms of the operators can be obtained by integral of the product of the kernel function and finitely many basic functions. Using the integral, we can easily calculate the sharp constants for the multilinear Hilbert inequality, the generalized Hardy-Littlewood-Sobolev inequality and the multilinear Hardy operator.
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页码：907 / 920
页数：13
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