The reversed Hardy-Littlewood-Sobolev inequality
主 题: The reversed Hardy-Littlewood-Sobolev inequality
报告人: Meijun Zhu ()
时 间: 2014-05-21 9:00-10:00
地 点: 全斋 9， BICMR（主持人：朱小华）
For the classically defined integral operator $I_\alpha f$, we establish the reversed Hardy-Littlewood-Sobolev inequality for $\alpha>n$. In the conformal case, we also prove the sharp inequality. The motivation, as well as possible applications of such inequality, in particular its relation to the sharp Sobolev inequality with negative power will be addressed.
