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math.FA2021
Volume properties of high-dimensional Orlicz balls
Franck Barthe, P Wolff
We prove asymptotic estimates for the volume of families of Orlicz balls in high dimensions. As an application, we describe a large family of Orlicz balls which verify a famous con…
math.FA2018
Positive Gaussian kernels also have Gaussian minimizers
Franck Barthe, Pawel Wolff
We study lower bounds on multilinear operators with Gaussian kernels acting on Lebesgue spaces, with exponents below one. We put forward natural conditions when the optimal constan…
math.FA2009
On the isotropy constant of projections of polytopes
David Alonso-Gutiérrez, Jesús Bastero, Julio Bernués +1
The isotropy constant of any -dimensional polytope with vertices is bounded by where is a numerical constant.