%0 Journal Article
%A Campos, J.R.
%A Jiménez Rodríguez, P.
%A Muñoz-Fernández, Gustavo A.
%A Pellegrino, D.
%A Seoane-Sepúlveda, Juan B.
%T On the real polynomial Bohnenblust-Hille inequality
%D 2015
%@ 0024-3795
%U https://hdl.handle.net/20.500.14352/33772
%X Abstract. It was recently proved by Bayart et al. that the complex polynomial Bohnenblust–Hilleinequality is subexponential. We show that, for real scalars, this does no longer hold. Moreover, weshow that, if DR,m stands for the real Bohnenblust–Hille constant for m-homogeneous polynomials, then lim sup(m) D-R,m(1/m) = 2, a quite surprising result having in mind that the exact value of the Bohnenblust-Hille constants is still a mystery.
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