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In this paper, generalised weighted $L^p$-Hardy,$L^p$-Caffarelli-Kohn-Nirenberg, and $L^p$-Rellich inequalities with boundaryterms are obtained on stratified Lie groups. As consequences, most of the Hardytype inequalities and Heisenberg- Pauli-Weyl type uncertainty principles onstratified groups are recovered. Moreover, a weighted $L^2$-Rellich typeinequality with the boundary term is obtained.

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