Weighted hardy type inequalities on the heisenberg group ℍn
Mathematical Inequalities and Applications, cilt.19, sa.2, ss.671-683, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 19 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.7153/mia-19-48
- Dergi Adı: Mathematical Inequalities and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.671-683
- Anahtar Kelimeler: Heisenberg group, Hardy inequality, Hardy-Poincare inequality
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
In the present article, we provide a sufficient condition on a pair of nonnegative weight functions V and W on the Heisenberg group ℍn, so that we establish a general Lp Hardy type inequality involving these weights with a remainder term. The method we use here is practical enough to get more weighted Hardy type inequalities. We also obtain new results on two-weight Hardy and Hardy-Poincaré type inequalities with remainder terms on ℍn. Our findings improve and include many previously known results in special cases.