Weighted Hardy and Rellich type inequalities on Riemannian manifolds

KÖMBE İ., YENER A.

Mathematische Nachrichten, cilt.289, sa.8-9, ss.994-1004, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 289 Sayı: 8-9
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1002/mana.201500237
  • Dergi Adı: Mathematische Nachrichten
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.994-1004
  • Anahtar Kelimeler: Riemannian manifolds, Hardy inequality, Hardy-Poincare inequality, Rellich inequality
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper we present new results on two-weight Hardy, Hardy-Poincaré and Rellich type inequalities with remainder terms on a complete noncompact Riemannian Manifold M. The method we use is flexible enough to obtain more weighted Hardy type inequalities. Our results improve and include many previously known results as special cases.