A sharp uncertainty principle and hardy-poincaŕe inequalities on sub-riemannian manifolds

Semra Ahmetolan*, Ismail Kombe

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We prove a sharp Heisenberg uncertainty principle inequality and Hardy-Poincaŕe inequality on the sub-Riemannian manifold R2n+1 = Rn ×Rn ×R defined by the vector fields: where |z| = (|x|2 +|y|2)1/2 and k1.

Original languageEnglish
Pages (from-to)457-467
Number of pages11
JournalMathematical Inequalities and Applications
Volume15
Issue number2
DOIs
Publication statusPublished - Apr 2012

Keywords

  • Hardy-Poincaŕe inequality
  • Uncertainty principle inequality

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