Finite bounds for Holder-Brascamp-Lieb multilinear inequalities

2005/05/31 by Jonathan Bennett, Bennett, Jonathan, Anthony Carbery +5 · 3 citations
Mathematics · #Analytic and geometric function theory #Mathematical Approximation and Integration #Mathematical Inequalities and Applications #math.CA #msc:26D20 #msc:44A35

paper · pdf · doi:10.48550/arxiv.math/0505691

15 pages

arxiv created 2005/05/31 · arxiv updated 2009/12/01

Abstract

A criterion is established for the validity of multilinear inequalities of a class considered by Brascamp and Lieb, generalizing well-known inequalities of Holder, Young, and Loomis-Whitney. This is a companion to a recent paper by the same authors, containing a different proof and discussing certain variants.

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