This is an announcement for the paper "Integral isoperimetric transference and dimensionless Sobolev inequalities" by Joaquim Martin and Mario Milman.

Abstract: We introduce the concept of Gaussian integral isoperimetric transference and show how it can be applied to obtain a new class of sharp Sobolev-Poincar'{e} inequalities with constants independent of the dimension. In the special case of $L^{q}$ spaces on the unit $n-$dimensional cube our results extend the recent inequalities that were obtained in \cite{FKS} using extrapolation.

Archive classification: math.FA

Submitted from: mario.milman@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1309.1980

or

http://arXiv.org/abs/1309.1980