| dc.contributor.author | Ruzhansky, M | en_US |
| dc.contributor.author | Yessirkegenov, N | en_US |
| dc.date.accessioned | 2024-03-12T12:57:40Z | |
| dc.date.available | 2024-03-07 | en_US |
| dc.date.issued | 09-05-2024 | |
| dc.identifier.citation | Ruzhansky, M., Yessirkegenov, N. Hardy–Sobolev–Rellich, Hardy–Littlewood–Sobolev and Caffarelli–Kohn–Nirenberg Inequalities on General Lie Groups. J Geom Anal 34, 223 (2024). https://doi.org/10.1007/s12220-024-01614-9 | |
| dc.identifier.citation | doi.org/10.1007/s12220-024-01614-9 | |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/95245 | |
| dc.description.abstract | In this paper, we establish a number of geometrical inequalities such as Hardy, Sobolev, Rellich, Hardy–Littlewood–Sobolev, Caffarelli–Kohn–Nirenberg, Gagliardo-Nirenberg inequalities and their critical versions for an ample class of sub-elliptic differential operators on general connected Lie groups, which include both unimodular and non-unimodular cases in compact and noncompact settings. We also obtain the corresponding uncertainty type principles. | |
| dc.relation.ispartof | The Journal of Geometric Analysis | en_US |
| dc.rights | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | |
| dc.title | Hardy-Sobolev-Rellich, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups | en_US |
| dc.type | Article | |
| pubs.notes | Not known | en_US |
| pubs.publication-status | Accepted | en_US |
| dcterms.dateAccepted | 2024-03-07 | en_US |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
| qmul.funder | Regularity in affiliated von Neumann algebras and applications to partial differential equations::Engineering and Physical Sciences Research Council | en_US |
