Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds
Transactions of the American Mathematical Society, vol.365, no.10, pp.5035-5050, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 365 Issue: 10
- Publication Date: 2013
- Doi Number: 10.1090/s0002-9947-2013-05763-7
- Journal Name: Transactions of the American Mathematical Society
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.5035-5050
- Keywords: Hardy-Poincare inequality, Rellich inequality, uncertainty principle inequality
- Open Archive Collection: AVESIS Open Access Collection
- İstanbul Ticaret University Affiliated: Yes
Abstract
We 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 ℍn. © 2013 American Mathematical Society.