Improved Hardy and Rellich inequalities on Riemannian manifolds

Kombe, Ismail; Özaydin, Murad

doi:10.1090/S0002-9947-09-04642-X

Improved Hardy and Rellich inequalities on Riemannian manifolds
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by Ismail Kombe and Murad Özaydin PDF

Trans. Amer. Math. Soc. 361 (2009), 6191-6203 Request permission

Abstract:

In this paper we establish improved Hardy and Rellich type inequalities on a Riemannian manifold $M$. Furthermore, we also obtain sharp constants for improved Hardy and Rellich type inequalities on the hyperbolic space $\mathbb {H}^n$.

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