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Hardy type inequalities for the fractional relativistic operator

dc.contributor.authorRoncal Gómez, Luz
dc.date.accessioned2022-01-24T09:10:29Z
dc.date.available2022-01-24T09:10:29Z
dc.date.issued2022
dc.identifier.citationMathematics in Engineering 4(3) : 1-16 (2022)es_ES
dc.identifier.issn2640-3501
dc.identifier.urihttp://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.sponsorshipThis 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.isoenges_ES
dc.publisherAIMS Presses_ES
dc.relationinfo:eu-repo/grantAgreement/MINECO/MTM2017-82160-C2-1-Pes_ES
dc.relationinfo:eu-repo/grantAgreement/MICIU/RYC2018-025477-Ies_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjecttrace Hardy inequalityes_ES
dc.subjectHardy inequalityes_ES
dc.subjectextension problemes_ES
dc.subjectground state representationes_ES
dc.subjectfractional operatores_ES
dc.titleHardy type inequalities for the fractional relativistic operatores_ES
dc.typeinfo:eu-repo/semantics/articlees_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.holderAtribución 3.0 España*
dc.relation.publisherversionhttp://www.aimspress.com/article/doi/10.3934/mine.2022018es_ES
dc.identifier.doi10.3934/mine.2022018


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© 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)
Except where otherwise noted, this item's license is described as © 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)