Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups

© 2018 The Author(s) In this paper, generalised weighted (Formula presented.)-Hardy, (Formula presented.)-Caffarelli–Kohn–Nirenberg, and (Formula presented.)-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 (Formula presented.)-Rellich type inequality with the boundary term is obtained