A note on the polynomial Bohnenblust-Hille inequality

Daniel Nuñez-Alarcón

A note on the polynomial Bohnenblust-Hille inequality

Functional Analysis 2012-08-31 v1

Authors: Daniel Nuñez-Alarcón

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.

Keywords

polynomial theory ehrhart theory upper bounds

Cite

@article{arxiv.1208.6238,
  title  = {A note on the polynomial Bohnenblust-Hille inequality},
  author = {Daniel Nuñez-Alarcón},
  journal= {arXiv preprint arXiv:1208.6238},
  year   = {2012}
}

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