Factoring Sobolev inequalities through classes of functions

Details Factoring Sobolev inequalities through classes of functions Factoring Sobolev inequalities through classes of functions

2011-07-11

arxiv.org/abs/1107.2139v1

Mathematics

Functional Analysis

Scientific paper

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.

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