The reversed Hardy-Littlewood-Sobolev inequality
Time: 2014-05-21
Published By:
Speaker(s): Meijun Zhu
Time: 00:00-00:00 May 21, 2014
Venue: Room 09 at Quan Zhai, BICMR
Place: 全斋 9, BICMR
Time: May 21 (Wendesday), 9:00am-10:00am
Speaker: Meijun Zhu
Abstract: 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.