%0 Journal Article
%T Integral isoperimetric transference and dimensionless Sobolev inequalities
%A Joaquim Martin
%A Mario Milman
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1309.1980v1