2026-06-29T08:19:42Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/337722025-04-08T14:44:09Zcom_20.500.14352_14col_20.500.14352_15

On the real polynomial Bohnenblust-Hille inequality Campos, J.R. Jiménez Rodríguez, P. Muñoz-Fernández, Gustavo A. Pellegrino, D. Seoane Sepúlveda, Juan Benigno 517.98 Bohnenblust–Hille inequality Absolutely summing operators. Análisis funcional y teoría de operadores 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 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. CNPq Grant PVE Linha 2 INCT-Matemetica Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-19T13:27:46Z 2023-06-19T13:27:46Z 2015 journal article https://hdl.handle.net/20.500.14352/33772 0024-3795 10.1016/j.laa.2014.09.040 eng 401735/2013-3 open access application/pdf Elsevier