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

Daniel Nu\~nez-Alarc\'on; Daniel Pellegrino

arxiv: 1207.2662 · v1 · pith:N5FBHPVVnew · submitted 2012-07-11 · 🧮 math.FA

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

Daniel Nu\~nez-Alarc\'on , Daniel Pellegrino This is my paper

classification 🧮 math.FA

keywords proofbohnenblust--hillefracpowersimplefacthighlyinequalities

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

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