O. Delgado

activity

20062023

collaborators

6 papers

math.FA2023

The Cesàro space of Dirichlet series and its multiplier algebra

Jorge Bueno-Contreras, Guillermo P. Curbera, Olvido Delgado

We consider the space $H (ce s_{p})$ of all Dirichlet series whose coefficients belong to the Cesàro sequence space $ce s_{p}$ , consisting of all complex sequences whose absolut…

math.FA2017

Strong factorizations of operators with applications to Fourier and Cesáro transforms

O. Delgado, M. Mastylo, E. A. Sanchez-Perez

Consider two continuous linear operators $T : X_{1} (μ) \to Y_{1} (ν)$ and $S : X_{2} (μ) \to Y_{2} (ν)$ between Banach function spaces related to different $σ$ -finite measures $μ$ and $…

math.FA2015

Optimal domain of $q$ -concave operators and vector measure representation of $q$ -concave Banach lattices

O. Delgado, E. A. Sanchez Perez

Given a Banach space valued $q$ -concave linear operator $T$ defined on a $σ$ -order continuous quasi-Banach function space, we provide a description of the optimal domain of $T$ pre…

math.FA2015

Optimal extensions for $p$ -th power factorable operators

O. Delgado, E. A. Sanchez Perez

Let $X (μ)$ be a function space related to a measure space $(Ω, Σ, μ)$ with $χ_{Ω} \in X (μ)$ and let $T : X (μ) \to E$ be a Banach space valued operator. It is known that if $T$ is $p$ …

math.FA2015

Strong extensions for $q$ -summing operators acting in $p$ -convex Banach function spaces for $1 \leq p \leq q$

O. Delgado, E. A. Sánchez Pérez

Let $1 \leq p \leq q < \infty$ and let $X$ be a $p$ -convex Banach function space over a $σ$ -finite measure $μ$ . We combine the structure of the spaces $L^{p} (μ)$ and $L^{q} (ξ)$ for construct…

math.FA2006

Optimal domain for the Hardy operator

Olvido Delgado, Javier Soria

We study the optimal domain for the Hardy operator considered with values in a rearrangement invariant space. In particular, this domain can be represented as the space of integrab…

The Cesàro space of Dirichlet series and its multiplier algebra

Strong factorizations of operators with applications to Fourier and Cesáro transforms

Optimal domain of q-concave operators and vector measure representation of q-concave Banach lattices

Optimal extensions for p-th power factorable operators

Strong extensions for q-summing operators acting in p-convex Banach function spaces for 1≤p≤q

Optimal domain for the Hardy operator

Optimal domain of $q$ -concave operators and vector measure representation of $q$ -concave Banach lattices

Optimal extensions for $p$ -th power factorable operators

Strong extensions for $q$ -summing operators acting in $p$ -convex Banach function spaces for $1 \leq p \leq q$