Hardy-Poincaré, Rellich and Uncertainty principle inequalities on Riemannian manifolds

Ismail Kombe; Murad Özaydin

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arXiv · 1103.2747

Hardy-Poincaré, Rellich and Uncertainty principle inequalities on Riemannian manifolds

Ismail Kombe·Murad Özaydin

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Abstract

We continue our previous study of improved Hardy, Rellich and Uncertainty principle inequalities on a Riemannian manifold $M$, started in \cite{Kombe-Ozaydin}. In the present paper we prove new weighted Hardy-Poincaré, Rellich type inequalities as well as improved version of our Uncertainty principle inequalities on a Riemannian manifold $M$. In particular, we obtain sharp constants for these inequalities on the hyperbolic space $\mathbb{H}^n$.

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Ismail Kombe, Murad Özaydin. 2011-03-14. Hardy-Poincaré, Rellich and Uncertainty principle inequalities on Riemannian manifolds. https://arxiv.org/abs/1103.2747

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