Behaviour of the Brascamp--Lieb constant
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🧮 math.CA
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constantbehaviourbrascamp--liebgeneralanalysisbestboundcontinuous
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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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