Weighted hardy type inequalities on the heisenberg group ℍn

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YENER A.

Mathematical Inequalities and Applications, cilt.19, sa.2, ss.671-683, 2016 (SCI-Expanded) identifier identifier

  • 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
  • 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.