论文标题
仿射强壮 - 小木 - 贝布尔夫的不平等
Affine Hardy--Littlewood--Sobolev inequalities
论文作者
论文摘要
建立了尖锐的仿射强壮的木 - 小木 - 小木 - 苏布列夫的功能不平等，建立了$ \ mathbb r^n $的功能，这比lieb和beckner，dou，dou和zhu的尖锐强大（直接暗示）尖锐的硬木 - 小木 - 苏布洛夫不平等。此外，对于$ \ Mathbb r^n $，获得了新的不平等和仿射分数$ l^2 $ sobolev不平等的急剧反向不平等。
Sharp affine Hardy--Littlewood--Sobolev inequalities for functions on $\mathbb R^n$ are established, which are significantly stronger than (and directly imply) the sharp Hardy--Littlewood--Sobolev inequalities by Lieb and by Beckner, Dou, and Zhu. In addition, sharp reverse inequalities for the new inequalities and the affine fractional $L^2$ Sobolev inequalities are obtained for log-concave functions on $\mathbb R^n$.
