Factoring Sobolev inequalities through classes of functions

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

doi:10.1090/S0002-9939-2012-11355-3

Factoring Sobolev inequalities through classes of functions
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by David Alonso-Gutiérrez, Jesús Bastero and Julio Bernués PDF

Proc. Amer. Math. Soc. 140 (2012), 3557-3566 Request permission

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.

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