Estimates for Brascamp-Lieb forms in $L^p$ spaces with power weights
Classical Analysis and ODEs
2020-06-18 v2
Abstract
We establish a set of necessary conditions and a set of sufficient conditions for boundedness of a family of Brascamp-Lieb forms in Lorentz spaces and -spaces with power weights. The conditions are close to optimal.
Keywords
Cite
@article{arxiv.1807.07040,
title = {Estimates for Brascamp-Lieb forms in $L^p$ spaces with power weights},
author = {Russell M. Brown and Carl W. Lee and Katharine A. Ott},
journal= {arXiv preprint arXiv:1807.07040},
year = {2020}
}
Comments
15 pages, updated version with minor changes suggested by referee. New material discussing multi-linear fractional integrals