15 citations · 18 across the 4 of their papers we have counts for
4 papers
From affine Poincaré inequalities to affine spectral inequalities
Julián Haddad, Carlos Hugo Jiménez, Marcos Montenegro
Given a bounded open subset of , we establish the weak closure of the affine ball with respe…
Sharp affine weighted Sobolev type inequalities
Julian Haddad, Carlos Hugo Jiménez, Marcos Montenegro
We establish sharp affine weighted Sobolev type inequalities by using the Busemann-Petty centroid inequality proved by Lutwak, Yang and Zhang. Our approach consists in…
Characterization of dual mixed volumes via polymeasures
Carlos H. Jiménez, Ignacio Villanueva
We prove a characterization of the dual mixed volume in terms of functional properties of the polynomial associated to it. To do this, we use tools from the theory of multilinear o…
Volume inequalities for the -th-Convolution bodies
David Alonso-Gutiérrez, Bernardo González, Carlos Hugo Jiménez
We obtain a new extension of Rogers-Shephard inequality providing an upper bound for the volume of the sum of two convex bodies and . We also give lower bounds for the volum…