This is an announcement for the paper "A note on the polynomial Bohnenblust-Hille inequality" by Daniel Nunez-Alarcon.

Abstract: Recently, in paper published in the Annals of Mathematics, it was shown that the Bohnenblust-Hille inequality for (complex) homogeneous polynomials is hypercontractive. However, and to the best of our knowledge, there is no result providing (nontrivial) lower bounds for the optimal constants for n-homogeneous polynomials (n > 2). In this short note we provide lower bounds for these famous constants.

Archive classification: math.FA

Submitted from: danielnunezal@gmail.com

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

http://front.math.ucdavis.edu/1208.6238

or

http://arXiv.org/abs/1208.6238