Journal of Geometric Analysis

, Volume 23, Issue 4, pp 1806–1817

Global Nonlinear Brascamp–Lieb Inequalities


DOI: 10.1007/s12220-012-9307-3

Cite this article as:
Bennett, J., Bez, N. & Gutiérrez, S. J Geom Anal (2013) 23: 1806. doi:10.1007/s12220-012-9307-3


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.


Brascamp–Lieb inequalities Radon-like transforms 

Mathematics Subject Classification

44A12 44A35 

Copyright information

© Mathematica Josephina, Inc. 2012

Authors and Affiliations

  1. 1.School of Mathematics, The Watson BuildingUniversity of BirminghamBirminghamUK

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