HARDY AND RELLICH TYPE INEQUALITIES WITH TWO WEIGHT FUNCTIONS

Ahmetolan S., Kombe I.

MATHEMATICAL INEQUALITIES & APPLICATIONS, cilt.19, sa.3, ss.937-948, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.7153/mia-19-68
  • Dergi Adı: MATHEMATICAL INEQUALITIES & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.937-948
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In the present paper we prove several sharp two-weight Hardy, Hardy-Poincare, and Rellich type inequalities on the sub-Riemannian manifold R2n+1 = R-n x R-n x R defined by the vector fields: