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arXiv · 1207.2662

A simple proof that the power $\frac{2m}{m+1}$ in the Bohnenblust--Hille inequalities is sharp

Daniel Nuñez-Alarcón·Daniel Pellegrino
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Abstract

The power $\frac{2m}{m+1}$ in the polynomial (and multilinear) Bohnenblust--Hille inequality is optimal. This result is well-known but its proof highly nontrivial. In this note we present a quite simple proof of this fact.

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Daniel Nuñez-Alarcón, Daniel Pellegrino. 2012-07-11. A simple proof that the power $\frac{2m}{m+1}$ in the Bohnenblust--Hille inequalities is sharp. https://arxiv.org/abs/1207.2662

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