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Improved Hardy and Rellich inequalities on Riemannian manifolds

Ismail Kombe, Murad Ozaydin

math.AParXiv:math/0702047

Abstract

In this paper we establish improved Hardy and Rellich type inequalities on Riemannian manifold M. Furthermore, we also obtain sharp constant for the improved Hardy inequality and explicit constant for the Rellich inequality on hyperbolic space Hn.

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