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

20 papers

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…

math.MG2022

On the volume ratio of projections of convex bodies

Daniel Galicer, Alexander E. Litvak, Mariano Merzbacher +1

We study the volume ratio between projections of two convex bodies. Given a high-dimensional convex body $K$ we show that there is another convex body $L$ such that the volume rati…

math.FA2022

On the $n -$ th linear polarization constant of $R^{n}$

Damian Pinasco

We prove that given any set of $n$ unit vectors ${v_{i}}_{i = 1}^{n} \subset R^{n},$ the inequality \[ \sup\limits_{\Vert x \Vert_{\mathbb R^n} =1} \vert \langle x, v_1 \rangle…

math.PR2020

Orthant probabilities and the attainment of maxima on a vertex of a simplex

Damián Pinasco, Ezequiel Smucler, Ignacio Zalduendo

We calculate bounds for orthant probabilities for the equicorrelated multivariate normal distribution and use these bounds to show the following: for degree $k > 4$ , the probability…

math.MG2019

Asymptotic estimates for the largest volume ratio of a convex body

Daniel Galicer, Mariano Merzbacher, Damián Pinasco

The largest volume ratio of given convex body $K \subset R^{n}$ is defined as $$\mbox{lvr}(K):= \sup_{L \subset \mathbb{R}^n} \mbox{vr}(K,L),$$ where the $sup$ runs over al…

math.MG2017

The minimal volume of simplices containing a convex body

Daniel Galicer, Mariano Merzbacher, Damián Pinasco

Let $K \subset R^{n}$ be a convex body with barycenter at the origin. We show there is a simplex $S \subset K$ having also barycenter at the origin such that $\left(\frac{vol…

math.FA2017

On the linear polarization constants of finite dimensional spaces

Daniel Carando, Damián Pinasco, Jorge Tomás Rodríguez

We study the linear polarization constants of finite dimensional Banach spaces. We obtain the correct asymptotic behaviour of these constants for the spaces $ℓ_{p}^{d}$ : they behave…

math.FA2015

Non-linear Plank Problems and polynomial inequalities

Daniel Carando, Damian Pinasco, Jorge Tomás Rodríguez

We study lower bounds for the norm of the product of polynomials and their applications to the so called \emph{plank problem.} We are particularly interested in polynomials on fini…

math.FA2015

Hypercyclic behavior of some non-convolution operators on $H (C^{N})$

Santiago Muro, Damián Pinasco, Martín Savransky

We study hypercyclicity properties of a family of non-convolution operators defined on spaces of holomorphic functions on $C^{N}$ . These operators are a composition of a dif…

math.FA2015

An integral formula for multiple summing norms of operators

Daniel Carando, Verónica Dimant, Santiago Muro +1

We prove that the multiple summing norm of multilinear operators defined on some $n$ -dimensional real or complex vector spaces with the $p$ -norm may be written as an integral with…

math.MG2013

Energy integrals and metric embedding theory

Daniel Carando, Daniel Galicer, Damián Pinasco

For some centrally symmetric convex bodies $K \subset R^{n}$ , we study the energy integral $sup \int_{K} \int_{K} ∥ x - y ∥_{r}^{p} d μ (x) d μ (y),$ where the supremum runs…

math.FA2013

Strongly mixing convolution operators on Fréchet spaces of holomorphic functions

Santiago Muro, Damián Pinasco, Martín Savransky

A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on $C^{n}$ are hypercyclic. Moreover, it was shown by Bonill…

math.AP2012

Decay estimates for nonlinear nonlocal diffusion problems in the whole space

Liviu I. Ignat, Damián Pinasco, Julio D. Rossi +1

In this paper we obtain bounds for the decay rate in the $L^r (\rr^d)$-norm for the solutions to a nonlocal and nolinear evolution equation, namely, $$u_t(x,t) = \int_{\rr^d} K(x,y…

math.FA2012★ 5 cited

Lower bounds for norms of products of polynomials on $L_{p}$ spaces

Daniel Carando, Damian Pinasco, Jorge Tomás Rodríguez

For $1 < p < 2$ we obtain sharp inequalities for the supremum of products of homogeneous polynomials on $L_{p} (μ)$ , whenever the number of factors is no greater than the dimension of t…

Almost norming vertices for homogeneous polynomials on the cube

The weak maximizing property, compact perturbations and duality

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

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

Optimal polynomial meshes beyond geometric boundary regularity via Green sublevels

An Improved Volume Ratio Bound via Isotropic Positions

Strong Polarization and Entropy

On the volume ratio of projections of convex bodies

On the n−th linear polarization constant of Rn

Orthant probabilities and the attainment of maxima on a vertex of a simplex

Asymptotic estimates for the largest volume ratio of a convex body

The minimal volume of simplices containing a convex body

On the linear polarization constants of finite dimensional spaces

Non-linear Plank Problems and polynomial inequalities

Hypercyclic behavior of some non-convolution operators on H(CN)

An integral formula for multiple summing norms of operators

Energy integrals and metric embedding theory

Strongly mixing convolution operators on Fréchet spaces of holomorphic functions

Decay estimates for nonlinear nonlocal diffusion problems in the whole space

Lower bounds for norms of products of polynomials on Lp​ spaces

On the $n -$ th linear polarization constant of $R^{n}$

Hypercyclic behavior of some non-convolution operators on $H (C^{N})$

Lower bounds for norms of products of polynomials on $L_{p}$ spaces