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

Kömbe, İsmailÖzaydın, Murad2020-11-212020-11-2120130002-9947https://doi.org/10.1090/S0002-9947-2013-05763-7https://hdl.handle.net/11467/3495We continue our previous study of improved Hardy, Rellich and uncertainty principle inequalities on a Riemannian manifold M, started in our earlier paper from 2009. In the present paper we prove new weighted Hardy-Poincaré, Rellich type inequalities as well as an 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 ?n. © 2013 American Mathematical Society.eninfo:eu-repo/semantics/openAccessHardy-Poincaré inequalityRellich inequalityUncertainty principle inequalityHardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifoldsArticle3651050355050Q1WOS:000326590600001Q12-s2.0-8488035775510.1090/S0002-9947-2013-05763-7