Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds
Transactions of the American Mathematical Society, cilt.365, sa.10, ss.5035-5050, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 365 Sayı: 10
- Basım Tarihi: 2013
- Doi Numarası: 10.1090/s0002-9947-2013-05763-7
- Dergi Adı: Transactions of the American Mathematical Society
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.5035-5050
- Anahtar Kelimeler: Hardy-Poincare inequality, Rellich inequality, uncertainty principle inequality
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
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.