RT Journal Article
T1 On the real polynomial Bohnenblust-Hille inequality
A1 Campos, J.R.
A1 Jiménez Rodríguez, P.
A1 Muñoz-Fernández, Gustavo A.
A1 Pellegrino, D.
A1 Seoane Sepúlveda, Juan Benigno
AB 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.
PB Elsevier
SN 0024-3795
YR 2015
FD 2015
LK https://hdl.handle.net/20.500.14352/33772
UL https://hdl.handle.net/20.500.14352/33772
LA eng
NO CNPq Grant
NO PVE
NO Linha 2
NO INCT-Matemetica
DS Docta Complutense
RD 22 ene 2026