Weighted hardy type inequalities on the heisenberg group ℍn
Mathematical Inequalities and Applications, vol.19, no.2, pp.671-683, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 19 Issue: 2
- Publication Date: 2016
- Doi Number: 10.7153/mia-19-48
- Journal Name: Mathematical Inequalities and Applications
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.671-683
- Keywords: Heisenberg group, Hardy inequality, Hardy-Poincare inequality
- Open Archive Collection: AVESIS Open Access Collection
- İstanbul Ticaret University Affiliated: Yes
Abstract
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.