G. A. Muñoz-Fernández

activity

20152026

most citedSharp values for the constants in the polynomial Bohnenblust-Hille inequality

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.FA2026

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…

math.FA2026

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 $R^{2}$ endowed with the sup norm on the squares $□_{h} := [h, h + 1] \times [0, 1]$ with $…

math.FA2024

Geometry of homogeneous polynomials in $R^{2}$

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 $R^{2}$ . Specifically, we provide a co…

math.FA2015★ 2 cited

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 $2$ -homogeneous polynomials in $C^{2}$ is exactly $4 \frac{3}{2}$ . We also give th…

The unit ball of quadratic forms on an octagonal sector

Geometry of quadratic forms over a uniparametric family of squares

Geometry of homogeneous polynomials in R2

Sharp values for the constants in the polynomial Bohnenblust-Hille inequality

Geometry of homogeneous polynomials in $R^{2}$