Abstract of a paper by Daniel Nunez-Alarcon
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
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