129776 20260217205503.0 doi 10.1007/s12220-023-01508-2 sideral 136090 ART-2024-136090 eng Alonso Gutiérrez, David Universidad de Zaragoza (orcid)0000-0003-1256-3671 Brunn-Minkowski inequality for theta-convolution bodies via Ball's bodies 2024 Access copy available to the general public Unrestricted We consider the problem of finding the best function ϕn : [0, 1] → R such that for any pair of convex bodies K, L ∈ Rn the following Brunn–Minkowski type inequality holds |K +θ L| 1n ≥ ϕn(θ )(|K| 1 n + |L| 1 n ), where K +θ L is the θ-convolution body of K and L. We prove a sharp inclusion of the family of Ball’s bodies of an α-concave function in its super-level sets in order to provide the best possible function in the range 3 4 n ≤ θ ≤ 1, characterizing the equality cases. info:eu-repo/grantAgreement/ES/DGA/E48-20R info:eu-repo/grantAgreement/ES/DGA/E48-23R info:eu-repo/grantAgreement/ES/MICINN/PID2022-137294NB-I00 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 1.5 2024 MATHEMATICS 60 / 492 = 0.122 2024 Q1 T1 1.248 2024 Geometry and Topology 2024 Q1 2.3 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Javier Martín Goñi 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 34, 58 (2024), 1-15 J. geom. anal. JOURNAL OF GEOMETRIC ANALYSIS 1050-6926 375973 http://zaguan.unizar.es/record/129776/files/texto_completo.pdf Versión publicada 1234750 http://zaguan.unizar.es/record/129776/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:129776 articulos driver 2026-02-17-20:22:33 ARTICLE