Behaviour of the Brascamp--Lieb constant
Classical Analysis and ODEs
2017-06-07 v2
Abstract
Recent progress in multilinear harmonic analysis naturally raises questions about the local behaviour of the best constant (or bound) in the general Brascamp--Lieb inequality as a function of the underlying linear transformations. In this paper we prove that this constant is continuous, but is not in general differentiable.
Keywords
Cite
@article{arxiv.1605.08603,
title = {Behaviour of the Brascamp--Lieb constant},
author = {Jonathan Bennett and Neal Bez and Michael G. Cowling and Taryn C. Flock},
journal= {arXiv preprint arXiv:1605.08603},
year = {2017}
}
Comments
8 pages. Author accepted version. To appear in Bull. London Math. Soc