Glenier Bello

activity

20202025

most citedMean convergence of Lagrange interpolation

2 citations · 4 across the 12 of their papers we have counts for

collaborators

13 papers

math.FA2025

On the basic sequence structure of variable exponent Lebesgue spaces

José L. Ansorena, Glenier Bello

We study the subsymmetric basic sequence structure of variable exponent Lebesgue spaces $L_{P}$ built from index functions $P : Ω \to (0, \infty]$ on $σ$ -finite measure spaces $(Ω,…

math.CV2025

Self-improving estimates of growth of subharmonic and analytic functions

Glenier Bello, Dmitry Yakubovich

Given a bounded open subset $Ω$ and closed subsets $A, B$ of $R^{k}$ , we discuss when an estimate $u (x) \leq g (d i s t (x, A \cup B))$ , $x \in Ω ∖ (A \cup B)$ , for a function $u$ …

math.FA2025

Resolvent estimates for a function of a linear operator

Glenier Bello, Dmitry Yakubovich

Let $T$ be a bounded linear operator on a Banach space and $f$ an analytic function, defined on the spectrum of $T$ . We study the relations between the rate of growth of the resolv…

math.FA2025

Embeddability of $ℓ_{p}$ -spaces into mixed-norm Lebesgue spaces in connection with the validity of vector-valued extensions of the Riesz--Fischer Theorem

José L. Ansorena, Glenier Bello

The aim of this paper is twofold. On the one hand, we compute, in terms of $r$ and $s$ , the indices $p$ for which $ℓ_{p}$ isomorphically embeds into the mixed-norm separable space…

math.FA2024

Mutually non isomorphic mixed-norm Lebesgue spaces

José L. Ansorena, Glenier Bello

We prove that for $1 \leq p, q \leq \infty$ the mixed-norm spaces $L_{q} (L_{p})$ are mutually non-isomorphic, with the only exception that $L_{q} (L_{2})$ is isomorphic to $L_{q} (L_{q})$ for all $1<q…

math.FA2024★ 1 cited

Unconditional basic sequences in function spaces with applications to Orlicz spaces

José L. Ansorena, Glenier Bello

We find conditions on a function space $L$ that ensure that it behaves as an $L_{p}$ -space in the sense that any unconditional basis of a complemented subspace of $L$ eithe…

math.FA2022

Existence of almost greedy bases in mixed-norm sequence and matrix spaces, including Besov spaces

Fernando Albiac, José L. Ansorena, Glenier Bello +1

We prove that the sequence spaces $ℓ_{p} \oplus ℓ_{q}$ and the spaces of infinite matrices $ℓ_{p} (ℓ_{q})$ , $ℓ_{q} (ℓ_{p})$ and $(⨁_{n = 1}^{\infty} ℓ_{p}^{n})_{ℓ_{q}}$ , whic…

math.FA2022

Democracy of quasi-greedy bases in $p$ -Banach spaces with applications to the efficiency of the TGA in the Hardy spaces $H_{p} (D^{d})$

Fernando Albiac, José L. Ansorena, Glenier Bello

We use new methods, specific of non-locally convex quasi-Banach spaces, to investigate when the quasi-greedy bases of a $p$ -Banach space for $0 < p < 1$ are democratic. The novel techn…

math.CA2022★ 2 cited

Mean convergence of Lagrange interpolation

Glenier Bello, Manuel Bello-Hernández

In this note we prove mean convergence of Lagrange interpolation at the zeros of para-orthogonal polynomials for measures in the unit circle which does not belong to Szegő's class…

math.FA2021★ 1 cited

An operator model in the annulus

Glenier Bello, Dmitry Yakubovich

For an invertible linear operator $T$ on a Hilbert space $H$ , put \[ α(T^*,T) := -T^{*2}T^2 + (1+r^2) T^* T - r^2 I, \] where $I$ stands for the identity operator on $H$ and $r\in…

math.FA2021

Lorentz spaces and embeddings induced by almost greedy bases in superreflexive Banach spaces

José L. Ansorena, Glenier Bello, Przemysław Wojtaszczyk

The aim of this paper is to show that almost greedy bases induce tighter embeddings in superreflexive Banach spaces than in general Banach spaces. More specifically, we show that a…

math.FA2021

Toward an optimal theory of integration for quasi-Banach-space-valued functions

José L. Ansorena, Glenier Bello

We present a new approach to define a suitable integral for functions with values in quasi-Banach spaces. The integrals of Bochner and Riemann have deficiencies in the non-locally…

math.FA2020

Functional models up to similarity and $a$ -contractions

Luciano Abadias, Glenier Bello, Dmitry Yakubovich

We study the generalization of $m$ -isometries and $m$ -contractions (for positive integers $m$ ) to what we call $a$ -isometries and $a$ -contractions for positive real numbers $a$ . We…

On the basic sequence structure of variable exponent Lebesgue spaces

Self-improving estimates of growth of subharmonic and analytic functions

Resolvent estimates for a function of a linear operator

Embeddability of ℓp​-spaces into mixed-norm Lebesgue spaces in connection with the validity of vector-valued extensions of the Riesz--Fischer Theorem

Mutually non isomorphic mixed-norm Lebesgue spaces

Unconditional basic sequences in function spaces with applications to Orlicz spaces

Existence of almost greedy bases in mixed-norm sequence and matrix spaces, including Besov spaces

Democracy of quasi-greedy bases in p-Banach spaces with applications to the efficiency of the TGA in the Hardy spaces Hp​(Dd)

Mean convergence of Lagrange interpolation

An operator model in the annulus

Lorentz spaces and embeddings induced by almost greedy bases in superreflexive Banach spaces

Toward an optimal theory of integration for quasi-Banach-space-valued functions

Functional models up to similarity and a-contractions

Embeddability of $ℓ_{p}$ -spaces into mixed-norm Lebesgue spaces in connection with the validity of vector-valued extensions of the Riesz--Fischer Theorem

Democracy of quasi-greedy bases in $p$ -Banach spaces with applications to the efficiency of the TGA in the Hardy spaces $H_{p} (D^{d})$

Functional models up to similarity and $a$ -contractions