Finite bounds for Holder-Brascamp-Lieb multilinear inequalities

Mathematics – Classical Analysis and ODEs

Scientific paper

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15 pages

Scientific paper

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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