75 citations · 84 across the 6 of their papers we have counts for
7 papers · 1 filter
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…
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…
A remark about distortion
Bernard Maurey
In this note we show that every Banach space not containing uniformly and with unconditional basis contains an arbitrarily distortable subspace.
The unconditional basic sequence problem
W. T. Gowers, Bernard Maurey
We construct a Banach space that does not contain any infinite unconditional basic sequence.