Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds

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Tarih

2013

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

Künye