Improved hardy and rellich inequalities on riemannian manifolds

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KÖMBE İ., ÖZaydin M.

Transactions of the American Mathematical Society, cilt.361, sa.12, ss.6191-6203, 2009 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 361 Sayı: 12
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1090/s0002-9947-09-04642-x
  • Dergi Adı: Transactions of the American Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6191-6203
  • Anahtar Kelimeler: Hardy inequality, Rellich inequality, Sharp constants
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper we establish improved Hardy and Rellich type inequalities on a Riemannian manifold M. Furthermore, we also obtain sharp constants for improved Hardy and Rellich type inequalities on the hyperbolic space ℍn. © 2009 American Mathematical Society.