A. Zvavitch

activity

20042026

most citedA remark on the Mahler conjecture: local minimality of the unit cube

60 citations · 154 across the 30 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.FA2023

Comparison Problems for Radon Transforms

Alexander Koldobsky, Michael Roysdon, Artem Zvavitch

Given two non-negative functions $f$ and $g$ such that the Radon transform of $f$ is pointwise smaller than the Radon transform of $g$ , does it follow that the $L^{p}$ -norm of $f$ is…

math.FA2023

Inequalities for sections and projections of convex bodies

Apostolos Giannopoulos, Alexander Koldobsky, Artem Zvavitch

This article belongs to the area of geometric tomography, which is the study of geometric properties of solids based on data about their sections and projections. We describe a new…

math.MG2023★ 2 cited

Volume Product

Matthieu Fradelizi, Mathieu Meyer, Artem Zvavitch

Our purpose here is to give an overview of known results and open questions concerning the volume product $P (K) = min_{z \in K} vol (K) vol ((K - z)^{*})$ of a convex…