Artículo
John's ellipsoid and the integral ratio of a log-concave function
Autor/es | Alonso Gutiérrez, David
González Merino, Bernardo Jiménez Gómez, Carlos Hugo Villa Caro, Rafael |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2018-04 |
Fecha de depósito | 2018-11-19 |
Publicado en |
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Resumen | 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 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. |
Identificador del proyecto | MTM2013-42105-P
P11B2014-35 MTM2012-34037 MTM2012-30748 |
Cita | 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. |
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