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arXiv · 1707.06754

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

Michael Ruzhansky·Bolys Sabitbek·Durvudkhan Suragan
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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 $L^2$-Rellich type inequality with the boundary term is obtained.

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Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan. 2017-07-21. Weighted $L^p$-Hardy and $L^p$-Rellich inequalities with boundary terms on stratified Lie groups. https://arxiv.org/abs/1707.06754

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