This is an announcement for the paper "A simple proof that the power $\frac{2m}{m+1}$ in the Bohnenblust--Hille inequalities is sharp" by Daniel Nunez-Alarcon and Daniel Pellegrino.

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.

Archive classification: math.FA

Submitted from: dmpellegrino@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1207.2662

or

http://arXiv.org/abs/1207.2662