Weighted $L^p$-Hardy and $L^p$-Rellich inequalities with boundary terms
on stratified Lie groups
on stratified Lie groups
File(s)Ruzhansky2018_Article_WeightedLPLp-HardyAndLPLp-Rell.pdf (471.84 KB)
Published version
Author(s)
Ruzhansky, Michael
Sabitbek, Bolys
Suragan, Durvudkhan
Type
Journal Article
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.
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.
Date Issued
2019-01
Date Acceptance
2018-06-12
Citation
Revista Matemática Complutense, 2019, 32 (1), pp.19-35
ISSN
1139-1138
Publisher
Springer Verlag
Start Page
19
End Page
35
Journal / Book Title
Revista Matemática Complutense
Volume
32
Issue
1
Copyright Statement
© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Sponsor
Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Identifier
http://arxiv.org/abs/1707.06754v1
Grant Number
EP/R003025/1
RPG-2017-151
Subjects
math.AP
math.AP
math.FA
Publication Status
Published
Date Publish Online
2018-06-29