Factoring Sobolev inequalities through classes of functions
Functional Analysis
2011-07-13 v1
Abstract
We recall two approaches to recent improvements of the classical Sobolev inequality. The first one follows the point of view of Real Analysis, while the second one relies on tools from Convex Geometry. In this paper we prove a (sharp) connection between them.
Cite
@article{arxiv.1107.2139,
title = {Factoring Sobolev inequalities through classes of functions},
author = {David Alonso-Gutiérrez and Jesús Bastero and Julio Bernués},
journal= {arXiv preprint arXiv:1107.2139},
year = {2011}
}