Sharp \(L^2\)-Caffarelli-Kohn-Nirenberg inequalities for Grushin vector fields

DOI10.1016/j.na.2020.111961zbMath1453.35006OpenAlexW3027664241MaRDI QIDQ2199967

Joshua Flynn

Publication date: 14 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111961

zbMATH Keywords

Kelvin transformGrushin vector fieldsanisotropic dilationsinterpolation inequalities with weights

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Sharp Hardy identities and inequalities on Carnot groups ⋮ Sharp Caffarelli–Kohn–Nirenberg inequalities on Riemannian manifolds: the influence of curvature

Cites Work

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