[Banach] Abstract of a paper by David Alonso-Gutierrez, Jesus Bastero and Julio Bernues

This is an announcement for the paper "Factoring Sobolev inequalities through classes of functions" by David Alonso-Gutierrez, Jesus Bastero and Julio Bernues.

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.

Archive classification: math.FA

Mathematics Subject Classification: 46E35, 46E30, 26D10, 52A40

Submitted from: bernues@unizar.es

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

http://front.math.ucdavis.edu/1107.2139

or

http://arXiv.org/abs/1107.2139