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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