An Algebraic Brascamp-Lieb Inequality
Classical Analysis and ODEs
2024-01-17 v5
Abstract
We prove a global nonlinear Brascamp-Lieb inequality for a general class of maps, encompassing polynomial and rational maps, as a consequence of the multilinear Kakeya-type inequalities of Zhang and Zorin-Kranich. We incorporate a natural affine-invariant weight that compensates for local degeneracies, and yields a uniform constant that depends only on the 'degree' of the maps involved.
Keywords
Cite
@article{arxiv.2001.03141,
title = {An Algebraic Brascamp-Lieb Inequality},
author = {Jennifer Duncan},
journal= {arXiv preprint arXiv:2001.03141},
year = {2024}
}