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arXiv · 1307.8442

The optimal constants in Holder-Brascamp-Lieb inequalities for discrete Abelian groups

Michael Christ
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Abstract

The optimal constants are found for Lebesgue norm multilinear inequalities of Holder-Brascamp-Lieb type for arbitrary discrete Abelian groups. Previously a criterion for finiteness of the constants had been established for finitely generated Abelian groups, and the optimal constant had been found in the torsion-free case. The main step here is the analysis of finite groups.

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Michael Christ. 2013-07-31. The optimal constants in Holder-Brascamp-Lieb inequalities for discrete Abelian groups. https://arxiv.org/abs/1307.8442

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