Global Nonlinear Brascamp–Lieb Inequalities

J. Bennett; N. Bez; S. Gutiérrez

doi:10.1007/s12220-012-9307-3

Global Nonlinear Brascamp–Lieb Inequalities

Mathematics

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5 Citations (Scopus)

Abstract

We prove global versions of certain known nonlinear Brascamp-Lieb inequalities under a natural homogeneity assumption. We also establish a conditional theorem allowing one to generally pass from local to global nonlinear Brascamp-Lieb estimates under such a homogeneity assumption. © Mathematica Josephina, Inc. 2012.

Original language	English
Pages (from-to)	1806-1817
Number of pages	12
Journal	Journal of Geometric Analysis
Volume	23
Issue number	4
Early online date	14 Mar 2012
DOIs	https://doi.org/10.1007/s12220-012-9307-3
Publication status	Published - 1 Oct 2013

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abstract = "We prove global versions of certain known nonlinear Brascamp-Lieb inequalities under a natural homogeneity assumption. We also establish a conditional theorem allowing one to generally pass from local to global nonlinear Brascamp-Lieb estimates under such a homogeneity assumption. {\textcopyright} Mathematica Josephina, Inc. 2012.",

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AB - We prove global versions of certain known nonlinear Brascamp-Lieb inequalities under a natural homogeneity assumption. We also establish a conditional theorem allowing one to generally pass from local to global nonlinear Brascamp-Lieb estimates under such a homogeneity assumption. © Mathematica Josephina, Inc. 2012.

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Global Nonlinear Brascamp–Lieb Inequalities

Abstract

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