Sharp Hardy identities and inequalities on Carnot groups

DOI10.1515/ans-2021-2123zbMath1479.43012OpenAlexW3138817191MaRDI QIDQ2041948

Guozhen Lu, Joshua Flynn, Lam Hoang Nguyen

Publication date: 26 July 2021

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2021-2123

zbMATH Keywords

weightsHardy inequalityCarnot groupsHardy-Sobolev inequalityCarnot-Carathéodory metricBessel pair

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30) Second-order elliptic equations (35J15) Analysis on other specific Lie groups (43A80) Inequalities involving derivatives and differential and integral operators (26D10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (10)

\(L^p\) Hardy's identities and inequalities for Dunkl operators ⋮ Hardy-Sobolev inequalities with Dunkl weights ⋮ Improved \(L^p\)-Hardy and \(L^p\)-Rellich inequalities with magnetic fields ⋮ Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities ⋮ Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives ⋮ Short proofs of refined sharp Caffarelli-Kohn-Nirenberg inequalities ⋮ Some notes on the critical Hardy inequalities ⋮ \(p\)-Bessel pairs, Hardy's identities and inequalities and Hardy-Sobolev inequalities with monomial weights ⋮ Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds ⋮ Hardy's identities and inequalities on Cartan-Hadamard manifolds

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