The Hardy and Caffarelli-Kohn-Nirenberg Inequalities Revisited
Analysis of PDEs
2010-07-14 v1
Abstract
In this paper some important inequalities are revisited. First, as motivation, we give another proof of the Hardy's inequality applying convenient vector fields as introduced by Mitidieri, see [6]. Then, we investigate a particular case of the Caffarelli-Kohn-Nirenberg's inequality. Finally, we study the Rellic's inequality.
Keywords
Cite
@article{arxiv.1007.2005,
title = {The Hardy and Caffarelli-Kohn-Nirenberg Inequalities Revisited},
author = {Aldo Bazan and Wladimir Neves},
journal= {arXiv preprint arXiv:1007.2005},
year = {2010}
}
Comments
14 pages