Improved Hardy and Rellich inequalities on Riemannian manifolds

Details Improved Hardy and Rellich inequalities on Riemannian manifolds Improved Hardy and Rellich inequalities on Riemannian manifolds

2007-02-02

arxiv.org/abs/math/0702047v1

Mathematics

Analysis of PDEs

Scientific paper

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 $\mathbb{H}^n$.

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