Ismail Kombe
Hardy, Rellich and Uncertainty principle inequalities on Carnot Groups
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ABSTRACT.  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.