Hardy and rellich type inequalities with two weight functions

Semra Ahmetolan, Ismail Kombe

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In the present paper we prove several sharp two-weight Hardy, Hardy-Poincaŕe, and Rellich type inequalities on the sub-Riemannian manifold R2n+1 = Rn x Rn xR defined by the vector fields: Xj = ∂ /∂ xj +2kyj |z|2k?2 ∂/ ∂ l Yj = ∂ /∂ yj ?2kxj |z|2k?2∂/ ∂ l, j = 1,2, ..,n where (z,y) = (x,y, l) ∂ R2n+1 , |z| = (|x|2 +|y|2)1/2 and k ≥ 1.

Original languageEnglish
Pages (from-to)937-948
Number of pages12
JournalMathematical Inequalities and Applications
Volume19
Issue number3
DOIs
Publication statusPublished - Jul 2016

Keywords

  • Hardy inequality with two weight functions
  • Rellich inequality with two weight functions
  • Sharp constan

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