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

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KÖMBE İ., Özaydin M.

Transactions of the American Mathematical Society, cilt.365, sa.10, ss.5035-5050, 2013 (SCI-Expanded) identifier identifier identifier

  • 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
  • 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.