Improved hardy and rellich inequalities on riemannian manifolds
Transactions of the American Mathematical Society, vol.361, no.12, pp.6191-6203, 2009 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 361 Issue: 12
- Publication Date: 2009
- Doi Number: 10.1090/s0002-9947-09-04642-x
- Journal Name: Transactions of the American Mathematical Society
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.6191-6203
- Keywords: Hardy inequality, Rellich inequality, Sharp constants
- Open Archive Collection: AVESIS Open Access Collection
- İstanbul Ticaret University Affiliated: Yes
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 ℍn. © 2009 American Mathematical Society.