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

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Title: Weighted $L^p$-Hardy and $L^p$-Rellich inequalities with boundary terms on stratified Lie groups
Authors: Ruzhansky, M
Sabitbek, B
Suragan, D
Item 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.
Issue Date: Jan-2019
Date of Acceptance: 12-Jun-2018
URI: http://hdl.handle.net/10044/1/61267
DOI: https://doi.org/10.1007/s13163-018-0268-3
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/Funder: Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Funder's Grant Number: EP/R003025/1
RPG-2017-151
Keywords: Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Stratified Lie group
Hardy inequality
Rellich inequality
Uncertainty principle
Caffarelli-Kohn-Nirenberg inequality
Boundary term
math.AP
math.AP
math.FA
math.AP
math.AP
math.FA
0101 Pure Mathematics
Publication Status: Published
Online Publication Date: 2018-06-29
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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