4 citations · 6 across the 7 of their papers we have counts for
7 papers
The unit ball of quadratic forms on an octagonal sector
Manwook Han, Sun Kwang Kim, Gustavo A. Muñoz-Fernández +1
Let \[\mathfrak O=\{(x,y)\in[0,1]^2:x+y\le \sqrt2\} \] be the first-quadrant sector of a regular octagon. For quadratic forms \(P(x,y)=ax^2+bxy+cy^2\), we study the supremum norm o…
Geometry of quadratic forms over a uniparametric family of squares
J. Llorente, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes +2
We characterize the extreme points of the parametric space of quadratic forms on endowed with the sup norm on the squares with $…
Geometry of homogeneous polynomials in
Domingo García, Mingu Jung, Manuel Maestre +2
This work is a thorough and detailed study on the geometry of the unit sphere of certain Banach spaces of homogeneous polynomials in . Specifically, we provide a co…
A simple unified explanation of several genetic issues on today's human population and on archaic humans
Per H. Enflo, Gustavo A. Muñoz-Fernández, Juan B. Seoane-Sepúlveda
We will give a simple, unified, possible explanation of several debated genetic issues on today's humans, Neandertals and Denisovans. In particular it is shown by means of a simple…
Sharp values for the constants in the polynomial Bohnenblust-Hille inequality
P. Jiménez-Rodríguez, G. A. Muñoz-Fernández, M. Murillo-Arcila +1
In this paper we prove that the complex polynomial Bohnenblust-Hille constant for -homogeneous polynomials in is exactly . We also give th…
On the polynomial Hardy--Littlewood inequality
G. Araujo, P. Jimenez-Rodriguez, G. Munoz-Fernandez +4
We investigate the growth of the constants of the polynomial Hardy-Littlewood inequality.
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…