33 citations · 44 across the 5 of their papers we have counts for
11 papers
Similarities and differences between real and complex Banach spaces: an overview and recent developments
M. S. Moslehian, G. A. Muñoz-Fernández, A. M. Peralta +1
There are numerous cases of discrepancies between results obtained in the setting of real Banach spaces and those obtained in the complex context. This article is a modern expositi…
On inequalities for convex functions
Luis Bernal-González, Pablo Jiménez-Rodríguez, Gustavo Adolfo Muñoz-Fernández +1
We study some properties convex functions fulfill. Among the conclusions we obtain from such result, we are able to prove some nontrivial inequalities among real numbers, and we gi…
Lineability in sequence and function spaces
G. Araújo, L. Bernal-González, G. A. Muñoz-Fernández +2
It is proved the existence of large algebraic structures \break --including large vector subspaces or infinitely generated free algebras-- inside, among others, the family of Lebes…
Estimates on the norm of polynomials and applications
Gustavo Araújo, Pablo Jiménez-Rodríguez, Gustavo A. Muñoz-Fernández +1
In this paper, equivalence constants between various polynomial norms are calculated. As an application, we also obtain sharp values of the Hardy--Littlewood constants for -homo…
Polynomial inequalities on the -circle sector
G. Araújo, P. Jiménez-Rodríguez, G. A. Muñoz-Fernández +1
A number of sharp inequalities are proved for the space of 2-homogeneous polynomials on endowed with the suprem…
On the optimality of the hypercontractivity of the complex Bohnenblust--Hille inequality
J. R. Campos, G. A. Muñoz-Fernández, D. Pellegrino +1
The main motivation of this paper is the following open problem: Is the hypercontractivity of the \emph{complex} polynomial Bohnenblust--Hille inequality an optimal result? We show…