Sharp Inequalities and the Colloquium of Christ

11/18/2011 - 1:30pm
Michael O'Neill

Mike Christ recently gave a neat colloquium talk here at the Claremont Colleges about his work on sharp inequalities for the Radon transform and their extremals.
In this analysis seminar talk I will:
1. Give an overview of the approach to Sharp inequalities initiated by Lieb and developed further by Lieb, Brascamp, Carlen, Loss and others. The original setting was the Hardy-Littlewood-Sobolev inequality but Christ has extended the method to the Radon transform and related operators.
2. Provide a little background about the Radon Transform and review the main result of Christs colloquium talk and its relation to #1. ( Finding optimizers for a sharp Radon transform inequality.)
3. Hopefully ask one or two well-posed open questions stemming from considera- tion of alternative approaches to sharp inequalities.

Millikan 213
Analysis Seminar-ONeill.pdf35.42 KB