On the real polynomial Bohnenblust-Hille inequality

2012/09/20 by Campos, J. R., Jiménez-Rodríguez, P., Muñoz-Fernández, G. A. +2
#30B50 #46G25 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1209.4632

Abstract

It was recently proved by Bayart et al. that the complex polynomial Bohnenblust--Hille inequality is subexponential. We show that, for real scalars, this does no longer hold. Moreover, we show that, if D_ℝ,m stands for the real Bohnenblust--Hille constant for m-homogeneous polynomials, then limsup_mD_ℝ,m^1/m=2.

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