Exponential inequalities in probability spaces revisited

  • Esther Bou Dagher (Ceremade Paris)
E2 10 (Leon-Lichtenstein)


In this talk, 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. This is a joint work with Ali Barki, Sergey Bobkov, and Cyril Roberto.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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