Mart'in Mansilla · wovepaper

activity

20162026

most citedMonomial convergence on

ℓ_{r}

8 citations · 12 across the 10 of their papers we have counts for

collaborators

12 papers

Projection Constants of Polynomial Spaces via Representation Theory

Andreas Defant, Daniel Galicer, Martín Mansilla +3

We develop a representation-theoretic framework for computing projection constants of finite-dimensional subspaces of $C (K)$ , where $K$ is a compact homogeneous $G$ -space. Within t…

Support-Sensitive Bohnenblust-Hille Inequalities and Local Invariants on Hamming Schemes

Andreas Defant, Daniel Galicer, Martín Mansilla +2

We investigate local invariants and geometric phenomena for polynomial spaces of low degree on the $q$ -ary Hamming scheme $C_{q}^{N}$ , where $C_{q}$ denotes the cyclic group of order $q$ …

Local constants and Bohr's phenomenon for Banach spaces of analytic polynomials

Andreas Defant, Daniel Galicer, Martín Mansilla +2

The primary aim of this work is to develop methods that provide new insights into the relationships between fundamental constants in Banach space theory--specifically, the projecti…

Ryll-Wojtaszczyk Formulas for bihomogeneous polynomials on the sphere

Andreas Defant, Daniel Galicer, Martín Mansilla +2

We investigate projection constants for spaces of bihomogeneous harmonic and bihomogeneous polynomials on the unit sphere in finite-dimensional complex Hilbert spaces. Using averag…

Minimal projections onto spaces of polynomials on real euclidean spheres

Andreas Defant, Daniel Galicer, Martín Mansilla +2

We investigate projection constants within classes of multivariate polynomials over finite-dimensional real Hilbert spaces. Specifically, we consider the projection constant for sp…

Asymptotic insights for projection, Gordon-Lewis and Sidon constants in Boolean cube function spaces

Andreas Defant, Daniel Galicer, Martín Mansilla +2

The main aim of this work is to study important local Banach space constants for Boolean cube function spaces. Specifically, we focus on $B_{S}^{N}$ , the finite-d…

math.FA2023★ 1 cited

Projection constants for spaces of Dirichlet polynomials

Andreas Defant, Daniel Galicer, Martín Mansilla +2

Given a frequency sequence $ω = (ω_{n})$ and a finite subset $J \subset N$ , we study the space $H_{\infty}^{J} (ω)$ of all Dirichlet polynomials $D(s) := \sum_{n \in…

math.FA2023★ 3 cited

The projection constant for the trace class

Andreas Defant, Daniel Galicer, Martín Mansilla +2

We study the projection constant of the space of operators on $n$ -dimensional Hilbert spaces, with the trace norm, $S_{1} (n)$ . We show an integral formula for the projection…

Projection constants for spaces of multivariate polynomials

Andreas Defant, Daniel Galicer, Martín Mansilla +2

The general problem we address is to develop new methods in the study of projection constants of Banach spaces of multivariate polynomials. The relative projection constant $\bolds…

math.CV2019★ 8 cited

Monomial convergence on $ℓ_{r}$

Daniel Galicer, Martín Mansilla, Santiago Muro +1

For $1 < r \leq 2$ , we study the set of monomial convergence for spaces of holomorphic functions over $ℓ_{r}$ . For $H_{b} (ℓ_{r})$ , the space of entire functions of bounded type in…

Mixed Bohr radius in several variables

Daniel Galicer, Martín Mansilla, Santiago Muro

Let $K (B_{ℓ_{p}^{n}}, B_{ℓ_{q}^{n}})$ be the $n$ -dimensional $(p, q)$ -Bohr radius for holomorphic functions on $C^{n}$ . That is, $K (B_{ℓ_{p}^{n}}, B_{ℓ_{q}^{n}})$ denotes the grea…

The sup-norm vs. the norm of the coefficients: equivalence constants for homogeneous polynomials

Daniel Galicer, Martín Mansilla, Santiago Muro

Let $A_{p, r}^{m} (n)$ be the best constant that fulfills the following inequality: for every $m$ -homogeneous polynomial $P (z) = \sum_{∣ α ∣ = m} a_{α} z^{α}$ in $n$ complex variables, $$\big(…