Hardy and rellich-type inequalities with remainders for baouendi-grushin vector fields

KÖMBE İ.

Houston Journal of Mathematics, cilt.41, sa.3, ss.849-874, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 3
  • Basım Tarihi: 2015
  • Dergi Adı: Houston Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.849-874
  • Anahtar Kelimeler: Hardy inequality, Rellich inequality, Uncertainty principle inequality, Best constants, Baouendi-Grushin vector fields
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper we study Hardy and Rellich-type inequalities and their improved versions for the Baouendi-Grushin vector fields δσ = (δx; |x|δy) where > 0, rx and ry are usual gradient operators in the variables x ε Rm and y ε Rk, respectively. We also obtain sharp constants for these inequalities. Furthermore, we prove a sharp uncertainty principle inequality for the Baouendi-Grushin vector fields.