论文标题
耐力不平等的多维Frank-Laptev-Weidl改善
Multidimensional Frank-Laptev-Weidl improvement of the Hardy Inequality
论文作者
论文摘要
在超批评的情况下，我们建立了对多维欧几里得空间的经典$ l^p $ - hardy不平等的新改进。最近，在[14]中，一维硬度不平等的新发展。使用一些函数的辐射技术，然后利用对对称性的重新排列参数，在真实线上进行重新排列参数，给出了新的多维版本的Hardy不平等版本。还讨论了一些后果。
We establish a new improvement of the classical $L^p$-Hardy inequality on the multidimensional Euclidean space in the supercritical case. Recently, in [14], there has been a new kind of development of the one dimensional Hardy inequality. Using some radialisation techniques of functions and then exploiting symmetric decreasing rearrangement arguments on the real line, the new multidimensional version of the Hardy inequality is given. Some consequences are also discussed.
