Hardy-Littlewood-Sobolev Inequalities via Fast Diffusion Flows
Analysis of PDEs
2015-05-19 v1
Abstract
We give a simple proof of the cases of the sharp Hardy-Littlewood-Sobolev inequality for , and the sharp Logarithmic Hardy-Littlewood-Sobolev inequality for via a monotone flow governed by the fast diffusion equation.
Cite
@article{arxiv.1006.2255,
title = {Hardy-Littlewood-Sobolev Inequalities via Fast Diffusion Flows},
author = {Eric A. Carlen and Jose Antonio Carrillo and Michael Loss},
journal= {arXiv preprint arXiv:1006.2255},
year = {2015}
}