C. H. Jim'enez

activity

20132020

most citedFrom affine Poincaré inequalities to affine spectral inequalities

15 citations · 18 across the 4 of their papers we have counts for

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2 papers · 1 filter

math.FA2017★ 2 cited

Sharp affine weighted $L^{p}$ Sobolev type inequalities

Julian Haddad, Carlos Hugo Jiménez, Marcos Montenegro

We establish sharp affine weighted $L^{p}$ Sobolev type inequalities by using the $L_{p}$ Busemann-Petty centroid inequality proved by Lutwak, Yang and Zhang. Our approach consists in…

math.FA2014

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…

Sharp affine weighted Lp Sobolev type inequalities

Characterization of dual mixed volumes via polymeasures

Sharp affine weighted $L^{p}$ Sobolev type inequalities