Hardy, Rellich and Uncertainty principle inequalities on Carnot Groups

Details Hardy, Rellich and Uncertainty principle inequalities on Carnot Groups Hardy, Rellich and Uncertainty principle inequalities on Carnot Groups

2006-11-28

arxiv.org/abs/math/0611850v1

Mathematics

Functional Analysis

Scientific paper

In this paper we prove sharp weighted Hardy-type inequalities on Carnot
groups with the homogeneous norm $N=u^{1/(2-Q)}$ associated to Folland's
fundamental solution $u$ for the sub-Laplacian $\Delta_{\mathbb{G}}$. We also
prove uncertainty principle, Caffarelli-Kohn-Nirenberg and Rellich inequalities
on Carnot groups.

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