Exponential inequalities in probability spaces revisited

Revista Matemática Iberoamericana 2026 Open access

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Authors: Ali Barki, Sergey G. Bobkov, Esther Bou Dagher, Cyril Roberto
DOI: 10.4171/rmi/1635
Cited by: 1

Abstract

We revisit several results on exponential integrability in probability spaces and derive some new ones. In particular, we give a quantitative form of recent results by Cianchi–Musil and Pick in the framework of Moser–Trudinger-type inequalities, and recover Ivanisvili–Russell’s inequality for the Gaussian measure. One key ingredient is the use of a dual argument, which is new in this context, that we also implement in the discrete setting of the Poisson measure on integers.

Fields of Study & Subjects

Advanced Banach Space Theory Advanced Harmonic Analysis Research Point processes and geometric inequalities

Publication details

Journal / source
Revista Matemática Iberoamericana
Publisher
European Mathematical Society - EMS - Publishing House GmbH
Volume
42
Issue
6
Pages
2289-2330
Publication date
19 June 2026
Language
EN