06-349 Ismail Kombe
Hardy, Rellich and Uncertainty principle inequalities on Carnot Groups (347K, PDF) Nov 28, 06
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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.

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