Some sharp Rellich type inequalities on nilpotent groups and applications

DOI10.1016/S0252-9602(12)60194-5zbMath1289.26038MaRDI QIDQ377972

Bao-Sheng Lian

Publication date: 19 November 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Carnot groupRellich inequalityHeisenberg-Greiner operators

Mathematics Subject Classification ID

Hypoelliptic equations (35H10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (14)

A general approach to weighted \(L^{p}\) Rellich type inequalities related to Greiner operator ⋮ Spectral analysis for perturbed operators on Carnot groups ⋮ Rellich inequalities for sub-Laplacians with drift ⋮ A general approach to weighted Rellich type inequalities on Carnot groups ⋮ General weighted Hardy-type inequalities related to Greiner operators ⋮ A unified approach to weighted Hardy type inequalities on Carnot groups ⋮ Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups ⋮ On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and \(p\)-sub-Laplacian inequalities on stratified groups ⋮ Factorizations and Hardy-Rellich inequalities on stratified groups ⋮ New sharp Hardy and Rellich type inequalities on Cartan–Hadamard manifolds and their improvements ⋮ Unnamed Item ⋮ Hardy and Rellich inequalities with exact missing terms on homogeneous groups ⋮ Weighted anisotropic Hardy and Rellich type inequalities for general vector fields ⋮ Some weighted Hardy and Rellich inequalities on the Heisenberg group

This page was built for publication: Some sharp Rellich type inequalities on nilpotent groups and applications