D. Girela

activity

20122025

most citedGeneralized Hilbert Operators

40 citations · 118 across the 13 of their papers we have counts for

collaborators

14 papers

math.CV2025

Rhaly operators acting on Hardy, Bergman, and Dirichlet spaces

Petros Galanopoulos, Daniel Girela

In this article we address the question of characterizing the sequences of complex numbers $(η) = {η_{n}}_{n = 0}^{\infty}$ whose associated Rhaly operator $R_{(η)}$ is bounde…

math.CV2025

Cesàro-type operators acting on Dirichlet spaces

Óscar Blasco, Petros Galanopoulos, Daniel Girela

If $(η) = {η_{n}}_{n = 0}^{\infty}$ is a sequence of complex numbers, the Cesàro-type operator $C_{(η)}$ is formally defined in the space of analytic funtions in the unit dis…

math.CV2019

Products of unbounded Bloch functions

Daniel Girela

We give new constructions of pair of functions $(f, g)$ , analytic in the unit disc, with $g \in H^{\infty}$ and $f$ an unbounded Bloch function, such that the product $g \cdot f$ is n…

math.CV2019★ 2 cited

A radial integrability result concerning bounded functions in analytic Besov spaces with applications

Salvador Domínguez, Daniel Girela

We prove that for every $p \geq 1$ there exists a bounded function in the analytic Besov space $B^{p}$ whose derivative is "badly integrable", along every radius. We apply this result…

math.CV2019

Multipliers and integration operators between conformally invariant spaces

Daniel Girela, Noel Merchán

In this paper we are concerned with two classes of conformally invariant spaces of analytic functions in the unit disc $\D$, the Besov spaces $B^{p}$ $(1 \leq p < \infty)$ and the $Q_{s}$ …

math.CV2019★ 1 cited

Integral means inequalities, convolution, and univalent functions

Daniel Girela, Cristóbal González

We use the Baernstein star-function to investigate several questions about the integral means of the convolution of two analytic functions in the unit disc. The theory of univalent…

math.CV2018★ 6 cited

Sequences of zeros of analytic function spaces and weighted superposition operators

Salvador Domínguez, Daniel Girela

We use properties of the sequences of zeros of certain spaces of analytic functions in the unit disc $D$ to study the question of characterizing the weighted superposition…

math.CV2018★ 5 cited

Hankel matrices acting on the Hardy space $H^{1}$ and on Dirichlet spaces

Daniel Girela, Noel Merchán

If $μ$ is a finite positive Borel measure on the interval $[0, 1)$ , we let $H_{μ}$ be the Hankel matrix $(μ_{n, k})_{n, k \geq 0}$ with entries $\,μ_{n, k}=μ_{n+k}…

math.CV2017★ 24 cited

A Hankel matrix acting on spaces of analytic functions

Daniel Girela, Noel Merchán

If $μ$ is a positive Borel measure on the interval $[0, 1)$ we let $H_{μ}$ be the Hankel matrix $H_{μ} = (μ_{n, k})_{n, k \geq 0}$ with entries $μ_{n, k} = μ_{n + k}$ , where,…

math.CV2016★ 32 cited

A generalized Hilbert operator acting on conformally invariant spaces

Daniel Girela, Noel Merchán

If $μ$ is a positive Borel measure on the interval $[0, 1)$ we let $H_{μ}$ be the Hankel matrix $H_{μ} = (μ_{n, k})_{n, k \geq 0}$ with entries $μ_{n, k} = μ_{n + k}$ , where,…

math.CV2016★ 5 cited

Superposition operators, Hardy spaces, and Dirichlet type spaces

Petros Galanopoulos, Daniel Girela, María Auxiliadora Márquez

For $0 < p < \infty$ and $α > - 1$ the space of Dirichlet type $D_{α}^{p}$ consists of those functions $f$ which are analytic in the unit disc $D$ and satisfy $\int_{\mathbb…

math.FA2013

A generalized Hilbert matrix acting on Hardy spaces

Christos Chatzifountas, Daniel Girela, Jose Angel Pelaez

If $μ$ is a positive Borel measure on the interval $[0, 1)$ , the Hankel matrix $H_{μ} = (μ_{n, k})_{n, k \geq 0}$ with entries $μ_{n, k} = \int_{[0, 1)} t^{n + k} d μ (t)$ induces formall…

math.CV2012★ 3 cited

Multipliers of Dirichlet subspaces of the Bloch space

Christos Chatzifountas, Daniel Girela, José Ángel Peláez

For $0 < p < \infty$ we let $D_{p - 1}^{p}$ denote the space of those functions $f$ which are analytic in the unit disc $D$ and satisfy $\int_\mathbb D (1-| z|)\sp {p-1}…

math.CV2012★ 40 cited

Generalized Hilbert Operators

Petros Galanopoulos, Daniel Girela, José Ángel Peláez +1

If $g$ is an analytic function in the unit disc $\D $ we consider the generalized Hilbert operator $\hg$ defined by {equation*}\label{H-g} \mathcal{H}_g(f)(z)=\int_0^1f(t)g'(tz)\,d…

Rhaly operators acting on Hardy, Bergman, and Dirichlet spaces

Cesàro-type operators acting on Dirichlet spaces

Products of unbounded Bloch functions

A radial integrability result concerning bounded functions in analytic Besov spaces with applications

Multipliers and integration operators between conformally invariant spaces

Integral means inequalities, convolution, and univalent functions

Sequences of zeros of analytic function spaces and weighted superposition operators

Hankel matrices acting on the Hardy space H1 and on Dirichlet spaces

A Hankel matrix acting on spaces of analytic functions

A generalized Hilbert operator acting on conformally invariant spaces

Superposition operators, Hardy spaces, and Dirichlet type spaces

A generalized Hilbert matrix acting on Hardy spaces

Multipliers of Dirichlet subspaces of the Bloch space

Generalized Hilbert Operators

Hankel matrices acting on the Hardy space $H^{1}$ and on Dirichlet spaces