Behaviour of the Brascamp--Lieb constant

Jonathan Bennett, Neal Bez, Michael G. Cowling, Taryn C. Flock

Published 2016-05-27Version 1

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.