Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds
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Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
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 ?n. © 2013 American Mathematical Society.
Açıklama
Anahtar Kelimeler
Hardy-Poincaré inequality, Rellich inequality, Uncertainty principle inequality
Kaynak
Transactions of the American Mathematical Society
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
365
Sayı
10