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arXiv 2011-07-11 0 views

Factoring Sobolev inequalities through classes of functions

Alonso-Gutiérrez, David · Bastero, Jesús · Bernués, Julio

Original · EN

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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