75 citations · 84 across the 6 of their papers we have counts for
9 papers
Dimension free bounds for the Hardy--Littlewood maximal operator associated to convex sets
Luc Deleaval, Olivier Guédon, Bernard Maurey
This survey is based on a series of lectures given by the authors at the working seminar "Convexité et Probabilités" at UPMC Jussieu, Paris, during the spring 2013. It is devoted t…
Some extensions of the Prékopa-Leindler inequality using Borell's stochastic approach
Dario Cordero-Erausquin, Bernard Maurey
We present an abstract form of the Prékopa-Leindler inequality that includes several known -and a few new- related functional inequalities on Euclidean spaces. The method of proof…
Remarks on multi-marginal symmetric Monge-Kantorovich problems
Nassif Ghoussoub, Bernard Maurey
Symmetric Monge-Kantorovich transport problems involving a cost function given by a family of vector fields were used by Ghoussoub-Moameni to establish polar decompositions of such…
Elementary solution to the Busemann-Petty problem
Franck Barthe, Matthieu Fradelizi, Bernard Maurey
A unified analytic solution to the Busemann-Petty problem was recently found by Gardner, Koldobsky and Schlumprecht. We give an elementary proof of their formulas for the inverse R…
Banach spaces with small spaces of operators
W. T. Gowers, B. Maurey
For a certain class of algebras we give a method for constructing Banach spaces such that every operator on is close to an operator in . This is used to pr…
Asymptotic infinite-dimensional theory of Banach spaces
Bernard Maurey, Vitali D. Milman, Nicole Tomczak-Jaegermann
In this paper structure of infinite dimensional Banach spaces is studied by using an asymptotic approach based on stabilization at infinity of finite dimensional subspaces which ap…