19 citations · 70 across the 31 of their papers we have counts for
5 papers · 1 filter
On very non-linear subsets of continuous functions
G. Botelho, D. Cariello, V. V. Fávaro +2
In this paper we continue the study initiated by Gurariy and Quarta in 2004 on the existence of linear spaces formed, up to the null vector, by continuous functions that attain the…
On the real polynomial Bohnenblust-Hille inequality
J. R. Campos, P. Jiménez-Rodríguez, G. A. Muñoz-Fernández +2
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. Moreo…
Subspaces of maximal dimension contained in
G. Botelho, D. Cariello, V. V. Fávaro +2
Let be a measure space and . In this paper we show that, under quite general conditions, the set is max…
On the Bohnenblust-Hille inequality and a variant of Littlewood's 4/3 inequality
D. Nunez-Alarcon, D. Pellegrino, J. B. Seoane-Sepulveda
The search for sharp constants for inequalities of the type Littlewood's 4/3 and Bohnenblust-Hille, besides its pure mathematical interest, has shown unexpected applications in man…
A geometric technique to generate lower estimates for the constants in the Bohnenblust--Hille inequalities
G. A. Muñoz-Fernández, D. Pellegrino, J. Ramos Campos +1
The Bohnenblust--Hille (polynomial and multilinear) inequalities were proved in 1931 in order to solve Bohr's absolute convergence problem on Dirichlet series. Since then these ine…