C. H. Jiménez

activity

20112025

L^{2}

Sobolev trace inequality and variants

26 citations · 27 across the 3 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.FA2015★ 26 cited

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…

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