G. A. Muñoz-Fernández

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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

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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 $…