# Reversed Hardy-Littlewood-Sobolev inequality

OCT 31, 2013 | 2:00 PM TO 4:00 PM

### Details

WHERE:

365 Fifth Avenue

ROOM:

5417

WHEN:

October 31, 2013: 2:00 PM-4:00 PM

Free

### Description

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.