Weighted Caffarelli–Kohn–Nirenberg type inequalities related to Grushin type operators

Abstract

We consider the Grushin type operator on ℝxd×ℝyk{\mathbb{R}^{d}_{x}\times\mathbb{R}^{k}_{y}} of the form

Keywords

• grushin type operator
• weighted hardy–sobolev inequality
• weighted caffarelli–kohn–nirenberg type inequality
• 26d10
• 35h20