Itemaren erregistro erraza erakusten du
Hardy type inequalities for the fractional relativistic operator
dc.contributor.author | Roncal Gómez, Luz | |
dc.date.accessioned | 2022-01-24T09:10:29Z | |
dc.date.available | 2022-01-24T09:10:29Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Mathematics in Engineering 4(3) : 1-16 (2022) | es_ES |
dc.identifier.issn | 2640-3501 | |
dc.identifier.uri | http://hdl.handle.net/10810/55110 | |
dc.description.abstract | [EN] We prove Hardy type inequalities for the fractional relativistic operator by using two different techniques. The first approach goes through trace Hardy inequalities. In order to get the latter, we study the solutions of the associated extension problem. The second develops a non-local version of the ground state representation in the spirit of Frank, Lieb, and Seiringer. | es_ES |
dc.description.sponsorship | This research was supported by the Basque Government through BERC 2018-2021 program, by Spanish Ministry of Economy and Competitiviness through BCAM Severo Ochoa accreditation SEV-2017-2018 and the project MTM2017-82160-C2-1-P funded by AEI/FEDER, UE. She also acknowledges the project RYC2018-025477-I and IKERBASQUE. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | AIMS Press | es_ES |
dc.relation | info:eu-repo/grantAgreement/MINECO/MTM2017-82160-C2-1-P | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICIU/RYC2018-025477-I | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.subject | trace Hardy inequality | es_ES |
dc.subject | Hardy inequality | es_ES |
dc.subject | extension problem | es_ES |
dc.subject | ground state representation | es_ES |
dc.subject | fractional operator | es_ES |
dc.title | Hardy type inequalities for the fractional relativistic operator | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.holder | © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0) | es_ES |
dc.rights.holder | Atribución 3.0 España | * |
dc.relation.publisherversion | http://www.aimspress.com/article/doi/10.3934/mine.2022018 | es_ES |
dc.identifier.doi | 10.3934/mine.2022018 |