A note on Hardy inequalities on homogeneous groups

DOI10.1007/s11118-018-9717-3zbMath1427.43013OpenAlexW2883701949WikidataQ129520069 ScholiaQ129520069MaRDI QIDQ2334558

Lam Hoang Nguyen

Publication date: 7 November 2019

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-018-9717-3

zbMATH Keywords

best constanttwo-weight Hardy inequalityhomogeneous Lie groupBessel pair\(L^p\)-Hardy-type inequality

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items

Hardy-Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs ⋮ \(L^p\) Hardy's identities and inequalities for Dunkl operators ⋮ Some variants of the Hardy inequality ⋮ Some Hardy identities on half‐spaces ⋮ Geometric Hardy's inequalities with general distance functions ⋮ Hardy-Rellich identities with Bessel pairs ⋮ Improved Hardy inequalities with exact remainder terms ⋮ Hardy inequalities and Caffarelli-Kohn-Nirenberg inequalities with radial derivative ⋮ A note on the Rellich inequality on half-space ⋮ A note on the second order geometric Rellich inequality on half-space ⋮ Improved Hardy and Hardy-Rellich type inequalities with Bessel pairs via factorizations ⋮ Unnamed Item ⋮ Some Hardy type inequalities with Finsler norms ⋮ Some notes on the critical Hardy inequalities ⋮ Improved Hardy inequalities and weighted Hardy type inequalities with spherical derivatives ⋮ Factorizations and Hardy's type identities and inequalities on upper half spaces ⋮ Cylindrical Hardy type inequalities with Bessel pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Quantization on nilpotent Lie groups
• A unified approach to weighted Hardy type inequalities on Carnot groups
• Weighted Hardy and Rellich inequality on Carnot groups
• Bessel pairs and optimal Hardy and Hardy-Rellich inequalities
• On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and \(p\)-sub-Laplacian inequalities on stratified groups
• Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
• The Hardy inequality and nonlinear parabolic equations on Carnot groups
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups
• Extended Caffarelli-Kohn-Nirenberg inequalities and superweights for \(L^p\)-weighted Hardy inequalities
• Sharp weighted Hardy type inequalities and Hardy-Sobolev type inequalities on polarizable Carnot groups
• Hardy-Sobolev type inequalities with sharp constants in Carnot-Carathéodory spaces
• Hardy type and Rellich type inequalities on the Heisenberg group
• On the best possible remaining term in the Hardy inequality
• Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for 𝐿^{𝑝}-weighted Hardy inequalities
• Hardy and Hardy–Rellich type inequalities with Bessel pairs
• Functional Inequalities: New Perspectives and New Applications
• Anisotropic L2-weighted Hardy and L2-Caffarelli–Kohn–Nirenberg inequalities