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arXiv · 1605.08603

Behaviour of the Brascamp--Lieb constant

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

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Jonathan Bennett, Neal Bez, Michael G. Cowling, Taryn C. Flock. 2016-05-27. Behaviour of the Brascamp--Lieb constant. https://doi.org/10.1112/blms.12049

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