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20132023
most citedSharp affine Sobolev type inequalities via the $\Lp$ Busemann-Petty centroid inequality

51 citations · 144 across the 15 of their papers we have counts for

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math.FA2023

A Rogers--Brascamp--Lieb--Luttinger inequality in the space of matrices

Julián Haddad

We consider convex bodies in , the space of matrices of -rows and -columns. A special case of fiber-symmetrization in was recently in…

math.FA2023★ 8 cited

Affine Isoperimetric Inequalities for Higher-Order Projection and Centroid Bodies

Julián Haddad, Dylan Langharst, Eli Putterman +2

In 1970, Schneider introduced the th order difference body of a convex body, and also established the th-order Rogers-Shephard inequality. In this paper, we extend this idea…