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

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Ahmetolan S., KÖMBE İ.

Mathematical Inequalities and Applications, cilt.15, sa.2, ss.457-467, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.7153/mia-15-40
  • Dergi Adı: Mathematical Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.457-467
  • Anahtar Kelimeler: Hardy-Poincaŕe inequality, Uncertainty principle inequality
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

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.