An Extension of Hardy-Littlewood-Sobolev Inequality

Friday, April 6, 2012 -
3:00pm to 4:00pm
The classical Hardy-Littlewood-Sobolev inequality implies Sobolev and other geometric inequalities and has a great impact to geometric analysis. Recent results on Sobolev inequalities with negative power indicate the existence of certain extensions to the classical HLS inequality. In this talk, we shall reveal one extension. The existence of sharp constant, as well as the classification of certain extremal functions via the method of moving sphere are also obtained. This is a joint work with J. Dou.
Speaker: 
Meijun Zhu
University of Oklahoma
Event Location: 
Fine Hall 314