Weighted L^p-Hardy and L^p-Rellich inequalities with boundary terms on stratified Lie groups

2017/07/21 by Ruzhansky, Michael, Sabitbek, Bolys, Suragan, Durvudkhan
#Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1707.06754

Abstract

In this paper, generalised weighted L^p-Hardy, L^p-Caffarelli-Kohn-Nirenberg, and L^p-Rellich inequalities with boundary terms are obtained on stratified Lie groups. As consequences, most of the Hardy type inequalities and Heisenberg- Pauli-Weyl type uncertainty principles on stratified groups are recovered. Moreover, a weighted L²-Rellich type inequality with the boundary term is obtained.

Related

• Hardy and uncertainty inequalities on stratified Lie groups
• Factorizations and Hardy-Rellich inequalities on stratified groups
• Logarithmic Hardy-Rellich inequalities on Lie groups
• Subelliptic geometric Hardy type inequalities on half-spaces and convex domains
• Improved Sobolev Inequalities and Muckenhoupt weights on stratified Lie groups