dc.creator | Alonso Gutiérrez, David | es |
dc.creator | González Merino, Bernardo | es |
dc.creator | Jiménez Gómez, Carlos Hugo | es |
dc.creator | Villa Caro, Rafael | es |
dc.date.accessioned | 2018-11-19T12:15:17Z | |
dc.date.available | 2018-11-19T12:15:17Z | |
dc.date.issued | 2018-04 | |
dc.identifier.citation | Alonso Gutiérrez, D., González Merino, B., Jiménez Gómez, C.H. y Villa Caro, R. (2018). John's ellipsoid and the integral ratio of a log-concave function. Journal of Geometric Analysis, 28 (2), 1182-1201. | |
dc.identifier.issn | 1050-6926 | es |
dc.identifier.issn | 1559-002x | es |
dc.identifier.uri | https://hdl.handle.net/11441/80347 | |
dc.description.abstract | We extend the notion of John’s ellipsoid to the setting of integrable
log-concave functions. This will allow us to define the integral ratio of a
log-concave function, which will extend the notion of volume ratio, and we
will find the log-concave function maximizing the integral ratio. A reverse
functional affine isoperimetric inequality will be given, written in terms of this
integral ratio. This can be viewed as a stability version of the functional affine
isoperimetric inequality. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Consejería de Industria, Turismo, Empresa e Innovación (Comunidad Autónoma de la Región de Murcia) | es |
dc.description.sponsorship | Coordenação de aperfeiçoamento de pessoal de nivel superior | es |
dc.description.sponsorship | Instituto Nacional de Matemática Pura e Aplicada | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Journal of Geometric Analysis, 28 (2), 1182-1201. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Log-concave function | es |
dc.subject | John’s position | es |
dc.subject | Volume ratio | es |
dc.subject | Reverse affine isoperimetric inequality | es |
dc.title | John's ellipsoid and the integral ratio of a log-concave function | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | MTM2013-42105-P | es |
dc.relation.projectID | P11B2014-35 | es |
dc.relation.projectID | MTM2012-34037 | es |
dc.relation.projectID | MTM2012-30748 | es |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007%2Fs12220-017-9858-4.pdf | es |
dc.identifier.doi | 10.1007/s12220-017-9858-4 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Análisis Matemático | es |
idus.format.extent | 22 p. | es |
dc.journaltitle | Journal of Geometric Analysis | es |
dc.publication.volumen | 28 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 1182 | es |
dc.publication.endPage | 1201 | es |