Hardy, Rellich and Uncertainty principle inequalities on Carnot Groups
Functional Analysis
2007-05-23 v1 Classical Analysis and ODEs
Abstract
In this paper we prove sharp weighted Hardy-type inequalities on Carnot groups with the homogeneous norm associated to Folland's fundamental solution for the sub-Laplacian . We also prove uncertainty principle, Caffarelli-Kohn-Nirenberg and Rellich inequalities on Carnot groups.
Cite
@article{arxiv.math/0611850,
title = {Hardy, Rellich and Uncertainty principle inequalities on Carnot Groups},
author = {Ismail Kombe},
journal= {arXiv preprint arXiv:math/0611850},
year = {2007}
}