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

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YENER A.

Turkish Journal of Mathematics, vol.42, no.6, pp.3050-3060, 2018 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 6
  • Publication Date: 2018
  • Doi Number: 10.3906/mat-1802-18
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.3050-3060
  • Keywords: Baouendi-Grushin operator, weighted Hardy inequality
  • Open Archive Collection: AVESIS Open Access Collection
  • İstanbul Ticaret University Affiliated: Yes

Abstract

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.