A unified approach to weighted Hardy type inequalities on Carnot groups

DOI10.3934/dcds.2017085zbMath1365.26017OpenAlexW2573870181MaRDI QIDQ525569

Ismail Kombe, Abdullah Yener, Jerome A. Goldstein

Publication date: 5 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017085

zbMATH Keywords

Carnot groupsHeisenberg-Pauli-Weyl inequalityweighted Hardy inequalitytwo-weight Hardy inequality

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80) Inequalities involving derivatives and differential and integral operators (26D10)

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Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group ⋮ Geometric Hardy's inequalities with general distance functions ⋮ Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group ⋮ Hardy type identities on \(\mathbb{R}^{n-k} \times (\mathbb{R}_+)^k\) via factorizations ⋮ Hardy and Hardy–Rellich type inequalities with Bessel pairs ⋮ Weighted \(L^p\)-Hardy and \(L^p\)-Rellich inequalities with boundary terms on stratified Lie groups ⋮ Coercive inequalities in higher-dimensional anisotropic Heisenberg group ⋮ A general approach to weighted Rellich type inequalities on Carnot groups ⋮ Sharp Hardy identities and inequalities on Carnot groups ⋮ Improved Hardy and Hardy-Rellich type inequalities with Bessel pairs via factorizations ⋮ Factorizations and Hardy-Rellich inequalities on stratified groups ⋮ Unnamed Item ⋮ Hardy and Rellich inequalities with exact missing terms on homogeneous groups ⋮ Weighted anisotropic Hardy and Rellich type inequalities for general vector fields ⋮ Improved Hardy inequalities and weighted Hardy type inequalities with spherical derivatives ⋮ Factorizations and Hardy's type identities and inequalities on upper half spaces ⋮ A note on Hardy inequalities on homogeneous groups ⋮ Cylindrical Hardy type inequalities with Bessel pairs ⋮ Improved critical Hardy inequality and Leray-Trudinger type inequalities in Carnot groups ⋮ Hardy inequalities for the Robin \(p\)-Laplacian in general domains

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