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

2018

Full text Open access: Hybrid Metadata (CSL-JSON)
DOI 10.1007/s13163-018-0268-3
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

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.