Several Hardy-type inequalities with weights related to Baouendi-Grushin operators

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YENER A.

Turkish Journal of Mathematics, cilt.42, sa.6, ss.3050-3060, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1802-18
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.3050-3060
  • Anahtar Kelimeler: Baouendi-Grushin operator, weighted Hardy inequality
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper we shall prove several weighted Lp Hardy-type inequalities associated to the Baouendi-Grushintype operators Δγ = Δx + |x|2γ Δy; where Δx and Δy are the classical Laplace operators in the variables x ∈ ℝn and y ∈ ℝk; respectively, and γ is a positive real number.