Pavlos Kalantzopoulos

activity

20202026

collaborators

6 papers

math.MG2026

Commutativity in a Poincaré-Type Inequality

Pavlos Kalantzopoulos

We study a Poincaré-type inequality for Gaussian measures restricted to origin-symmetric convex sets. The inequality arises from the second variation at $t = 0$ of the function $t\lo…

math.MG2025

Equality in Liakopoulos's generalized dual Loomis-Whitney inequality via Barthe's Reverse Brascamp-Lieb inequality

Karoly J. Böröczky, Ferenc Fodor, Pavlos Kalantzopoulos

We use the characterization of the case of equality in Barthe's Geometric Reverse Brascamp-Lieb inequality to characterize equality in Liakopoulos's volume estimate in terms of sec…

math.FA2025

Multiversion of the Hausdorff--Young inequality

Paata Ivanisvili, Pavlos Kalantzopoulos

We consider a family of jointly Gaussian random vectors $ξ_{j} \in R^{k_{j}}$ , each standard normal but possibly correlated, and investigate when\[ \mathbb{E}\, F\!\Bigl(B\big…

math.FA2024

$(P, Q)$ complex hypercontractivity

Paata Ivanisvili, Pavlos Kalantzopoulos

Let $ξ$ be the standard normal random vector in $R^{k}$ . Under some mild growth and smoothness assumptions on any increasing $P, Q : [0, \infty) \mapsto [0, \infty)$ we sh…

math.FA2022

The case of equality in geometric instances of Barthe's reverse Brascamp-Lieb inequalit

Karoly J. Boroczky, Pavlos Kalantzopoulos, Dongmeng Xi

The works of Bennett, Carbery, Christ, Tao and of Valdimarsson have clarified when equality holds in the Brascamp-Lieb inequality. Here we characterize the case of equality in the…

math.FA2020

Log-Brunn-Minkowski inequality under symmetry

Károly J. Böröczky, Pavlos Kalantzopoulos

We prove the log-Brunn-Minkowski conjecture for convex bodies with symmetries to $n$ independent hyperplanes, and discuss the equality case and the uniqueness of the solution of th…