Several Hardy-type inequalities with weights related to Baouendi-Grushin operators
Turkish Journal of Mathematics, vol.42, no.6, pp.3050-3060, 2018 (SCI-Expanded, Scopus, TRDizin)
- 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.