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

File Description SizeFormat 
Ruzhansky2018_Article_WeightedLPLp-HardyAndLPLp-Rell.pdfPublished version471.84 kBAdobe PDFView/Open
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: 29-Jun-2018
Date of Acceptance: 11-Jun-2018
URI: http://hdl.handle.net/10044/1/61267
DOI: https;//d.doi.org/10.1007/s13163-018-0268-3
ISSN: 1139-1138
Publisher: Springer Verlag
Journal / Book Title: Revista Matemática Complutense
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: The Leverhulme Trust
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: RPG-2017-151
EP/R003025/1
Keywords: math.AP
math.FA
0101 Pure Mathematics
Publication Status: Published online
Online Publication Date: 2018-06-29
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Creative Commonsx