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A variant of the Hardy inequality

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Publication:884989
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DOI10.1007/s00229-007-0084-4zbMath1118.22004OpenAlexW2018715750MaRDI QIDQ884989

Noël Lohoué

Publication date: 7 June 2007

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-007-0084-4


zbMATH Keywords

Lorentz spaceHaar measureHardy inequalitysub-Laplacianunimodular Lie group


Mathematics Subject Classification ID

Diffusion processes (60J60) Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90) Probability theory on algebraic and topological structures (60B99)


Related Items (2)

Caffarelli–Kohn–Nirenberg inequalities on Lie groups of polynomial growth ⋮ Inequalities of Hardy–Sobolev Type in Carnot–Carathéodory Spaces




Cites Work

  • Subelliptic mollifiers and a basic pointwise estimate of Poincaré type
  • On L(p,q) spaces
  • Hardy-Sobolev type inequalities on the H-type group
  • Hardy type and Rellich type inequalities on the Heisenberg group
  • Sub-Laplacians with drift on Lie groups of polynomial volume growth
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