An optimal Hardy-Morrey inequality
Analysis of PDEs
2013-10-14 v1
Abstract
In this work we improve the sharp Hardy inequality in the case by adding an optimal weighted Hoelder semi-norm. To achieve this we first obtain a local improvement. We also obtain a refinement of both the Sobolev inequality for and the Hardy inequality, the latter having the best constant.
Cite
@article{arxiv.1302.4432,
title = {An optimal Hardy-Morrey inequality},
author = {Georgios Psaradakis},
journal= {arXiv preprint arXiv:1302.4432},
year = {2013}
}
Comments
24 pages