C. H. Jiménez

collaborators

3 papers

math.MG2025

Centroids of sections of convex bodies and Lusternik-Schnirelmann category

Julian Haddad, C. Hugo Jiménez, Rafael Villa

Given two symmetric convex bodies $L \subseteq K \subseteq R^{n}$ with $L$ strictly convex, we prove that there exist at least $n$ hyperplanes $H$ tangent to $L$ , such that the cent…

math.FA2015

The sharp affine $L^{2}$ Sobolev trace inequality and variants

Pablo Luis De Nápoli, Julián Haddad, Carlos Hugo Jiménez +1

We establish a sharp affine $L^{p}$ Sobolev trace inequality by using the $L_{p}$ Busemann-Petty centroid inequality. For $p = 2$ , our affine version is stronger than the famous sharp…

math.FA2015

John's ellipsoid and the integral ratio of a log-concave function

David Alonso-Gutiérrez, Bernardo González Merino, Carlos Hugo Jiménez +1

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 e…

Centroids of sections of convex bodies and Lusternik-Schnirelmann category

The sharp affine L2 Sobolev trace inequality and variants

John's ellipsoid and the integral ratio of a log-concave function

The sharp affine $L^{2}$ Sobolev trace inequality and variants