A. Kolesnikov

collaborators

2 papers

math.FA2026

Homogeneous maximizers of the Blaschke--Santalo-type functionals

Alexander V. Kolesnikov

We study Blaschke--Santal{Ã³}-type inequalities for $N \geq 2$ sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the max…

math.FA2026

On p-Brunn-Minkowski and Brascamp-Lieb inequalities

Alexander V. Kolesnikov, Galyna Livshyts, Liran Rotem

We show that a strong version of the Brascamp--Lieb inequality for symmetric log-concave measure with $I^\pm$ -homogeneous potential $V$ is equivalent to a $p$ -Brunn--Minkowski inequal…