Journal of Geometric Analysis

, Volume 23, Issue 4, pp 1806–1817

Global Nonlinear Brascamp–Lieb Inequalities

Authors

    • School of Mathematics, The Watson BuildingUniversity of Birmingham
  • Neal Bez
    • School of Mathematics, The Watson BuildingUniversity of Birmingham
  • Susana Gutiérrez
    • School of Mathematics, The Watson BuildingUniversity of Birmingham
Article

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

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.

Keywords

Brascamp–Lieb inequalities Radon-like transforms

Mathematics Subject Classification

44A12 44A35

Copyright information

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