51 citations · 144 across the 15 of their papers we have counts for
5 papers · 1 filter
Higher-Order Lp Isoperimetric and Sobolev Inequalities
Julián Haddad, Dylan Langharst, Eli Putterman +2
Schneider introduced an inter-dimensional difference body operator on convex bodies and proved an associated inequality. In the prequel to this work, we showed that this concept ca…
Affine fractional Sobolev inequalities
Julián Haddad, Monika Ludwig
Sharp affine fractional Sobolev inequalities for functions on are established. The new inequalities are stronger than (and directly imply) the sharp fractional…
Affine Fractional Sobolev and Isoperimetric Inequalities
Julián Haddad, Monika Ludwig
Sharp affine fractional Sobolev inequalities for functions on are established. For each , the new inequalities are significantly stronger than (and directly im…
A Convex Body Associated to the Busemann Random Simplex Inequality and the Petty conjecture
Julián Eduardo Haddad
Given a convex body, the -Busemann Random Simplex Inequality is closely related to the centroid body for and , and only in these cases it can be proved us…
Asymmetric Blaschke-Santaló functional inequalities
Julian Haddad, C. Hugo Jimenez, Marcos Montenegro
In this work we establish functional asymmetric versions of the celebrated Blaschke-Santaló inequality. As consequences of these inequalities we recover their geometric counterpart…