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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.MG2023★ 11 cited
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…
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…