Hardy-Littlewood-Sobolev Inequalities via Fast Diffusion Flows
Speaker:
Michael Loss, Georgia Tech
Date and Time:
Thursday, November 4, 2010 - 2:10pm to 2:35pm
Location:
Fields Institute, Room 230
Abstract:
We give a simple proof of the l = d-2 cases of the sharp Hardy-Littlewood-Sobolev inequality for d = 3, and the sharp Logarithmic Hardy-Littlewood-Sobolev inequality for d=2 via a monotone flow governed by the fast diffusion equation.