Revista Matemática Complutense | 2019
Weighted $$L^{p}$$Lp-Hardy and $$L^{p}$$Lp-Rellich inequalities with boundary terms on stratified Lie groups
Abstract
In this paper, generalised weighted $$L^p$$Lp-Hardy, $$L^p$$Lp-Caffarelli–Kohn–Nirenberg, and $$L^p$$Lp-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 $$L^2$$L2-Rellich type inequality with the boundary term is obtained.