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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 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…