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Finite bounds for Holder-Brascamp-Lieb multilinear inequalities

Jonathan Bennett, Anthony Carbery, Michael Christ, Terence Tao

math.CAarXiv:math/0505691

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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