Damián Pinasco

activity

20122026

most citedLower bounds for norms of products of polynomials on

L_{p}

spaces

5 citations · 5 across the 14 of their papers we have counts for

collaborators

Showing 2026Show all

7 papers · 1 filter

math.FA2026

Almost norming vertices for homogeneous polynomials on the cube

Damián Pinasco, Ignacio Zalduendo

Let $m \geq 1$ be fixed. We consider the space $P_{m} (R^{n})$ of real $m$ -homogeneous polynomials on $R^{n}$ , endowed with the standard Gaussian measure $γ_{m,n…

math.FA2026

The weak maximizing property, compact perturbations and duality

Domingo García, Manuel Maestre, Damián Pinasco +1

We construct a one-parameter family $(X_{c})_{0 < c < 1}$ of real reflexive Banach spaces, isomorphic to $ℓ_{2}$ and satisfying $d_{BM} (X_{c}, ℓ_{2}) \leq c^{- 1}$ , such that $(X_c,…

math.MG2026

Large signed sums of unit vectors: the first linearly dependent case

Damián Pinasco

We address a problem on large signed sums of unit vectors that arose in work of Brugger, Fiedler, González Merino and Kirschbaum and was later formulated in its present form by Amb…

math.FA2026

Bang vectors in the real polarization problem: The exact dimensional range

Damián Pinasco

We determine the exact dimensional range in which a normalized longest signed sum, which we call a Bang vector, always satisfies the real polarization inequality: this prescription…

math.CA2026

Optimal polynomial meshes beyond geometric boundary regularity via Green sublevels

Damián Pinasco, María Victoria Venuti

We establish a potential-theoretic sufficient condition for a compact subset of the real line to admit an optimal polynomial mesh. The criterion bounds the cardinality of a norming…

math.MG2026

An Improved Volume Ratio Bound via Isotropic Positions

Daniel Galicer, Mariano Merzbacher, Damián Pinasco

We show that, for every pair of convex bodies $K, L \subset R^{n}$ , $vr (K, L) \leq C n lo g (n + 1) .$ The main point is to place $K$ and $L^{\circ}$ in isotropi…

math.FA2026

Strong Polarization and Entropy

Daniel Galicer, Oscar Ortega-Moreno, Damián Pinasco

We show that for any set of $n$ unit vectors $v_{1}, \dots, v_{n}$ in a real Hilbert space and positive numbers $p_{1}, \dots, p_{n}$ satisfying $\sum_{j} p_{j} = 1$ , there exists a unit vector…