A sharp uncertainty principle and hardy-poincaŕe inequalities on sub-riemannian manifolds
Mathematical Inequalities and Applications, vol.15, no.2, pp.457-467, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 15 Issue: 2
- Publication Date: 2012
- Doi Number: 10.7153/mia-15-40
- Journal Name: Mathematical Inequalities and Applications
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.457-467
- Keywords: Hardy-Poincaŕe inequality, Uncertainty principle inequality
- Open Archive Collection: AVESIS Open Access Collection
- İstanbul Ticaret University Affiliated: Yes
Abstract
We prove a sharp Heisenberg uncertainty principle inequality and Hardy-Poincaŕe inequality on the sub-Riemannian manifold R2n+1 = Rn ×Rn ×R defined by the vector fields: where |z| = (|x|2 +|y|2)1/2 and k1.