Reversed Hardy-Littlewood-Sobolev inequality
OCT 31, 2013 | 2:00 PM TO 4:00 PM
The Graduate Center
365 Fifth Avenue
October 31, 2013: 2:00 PM-4:00 PM
Initiative for the Theoretical Sciences Applied Mathematics Nonlinear Analysis Seminar: Reversed Hardy-Littlewood-Sobolev inequality
Speaker: Meijun Zhu (Univ. of Oklahoma)
For the classically defined integral operator $I_\alpha f$, we establish the reversed Hardy-Littlewood-Sobolev inequality for $\alpha>n$. In 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 discussed.