P. Galanopoulos

activity

20122026

most citedGeneralized Hilbert Operators

40 citations · 58 across the 13 of their papers we have counts for

collaborators

18 papers

math.FA2026

Hausdorff Matrices on the BMOA and Bloch spaces

Petros Galanopoulos, Alejandro Mahillo, Jesus Oliva-Maza +1

We determine the spectrum and Fredholm essential spectrum of Hausdorff operators $H_{μ}$ on BMOA and the Bloch space $B$ , for suitable finite positive Borel measu…

math.CV2026

Rhaly and generalized Hilbert operators between spaces of analytic functions

Petros Galanopoulos, Daniel Girela

We study the boundedness and the compactness of Rhaly and generalized Hilbert operators when acting between distinct spaces of analytic functions in the unit disc of the complex pl…

math.CV2026

The Hilbert matrix on analytic tent spaces

Tanausú Aguilar-Hernández, Petros Galanopoulos, Elena de la Rosa

We study for the first time the action of the Hilbert matrix $H = (c_{n, k})_{n, k \geq 0}, c_{n, k} = \frac{1}{n + k + 1}$ on the analytic tent spaces $AT^q_p, 1<p,q <\infty,…

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.FA2023★ 1 cited

A variant of Hilbert's inequality and the norm of the Hilbert Matrix on $K^{p}$

Vassilis Daskalogiannis, Petros Galanopoulos, Michael Papadimitrakis

We prove the nontrivial variant \[ \sum\limits_{m,n=1}^{\infty}\Big(\frac{n}{m}\Big)^{\frac{1}{q}-\frac{1}{p}}\frac{a_mb_n}{m+n-1}\leq\fracπ{\sin\fracπ{p}} \Big( \sum\limits_{m=1}^…

math.CV2023

Inequalities on Tent Spaces and Closed Range Integration Operators on spaces of Average Radial Integrability

Tanausú Aguilar-Hernández, Petros Galanopoulos

We deal with a reverse Carleson measure inequality for the tent spaces of analytic functions in the unit disc $D$ of the complex plane. The tent spaces of measurable funct…

math.CV2021

Schatten Class Hankel Operators on Large Bergman spaces

Petros Galanopoulos

We characterize the membership of Hankel operators with general symbols in the Schatten Classes $S^{p}, p \in (0, 1),$ of the large Bergman spaces $A_{ω}^{2}$ . The case $p \geq 1$ was prov…

math.FA2021

Average radial integrability spaces, tent spaces and integration operators

Tanausú Aguilar-Hernández, Petros Galanopoulos

We deal with a Carleson measure type problem for the tent spaces $A T_{p}^{q} (α)$ in the unit disc of the complex plane. They consist of the analytic functions of the tent spaces $T…

math.FA2021★ 10 cited

Semigroups of composition operators and Integral operators in BMOA-type spaces

Vassilis Daskalogiannis, Petros Galanopoulos

The aim of this article is to study semigroups of composition operators on the BMOA-type spaces $B M O A_{p}$ , and on their "little oh" analogues $V M O A_{p}$ . The spaces $B M O A_{p}$ were intr…

math.FA2020

Hausdorff operators on Fock Spaces

Petros Galanopoulos, Georgios Stylogiannis

Let $μ$ be a positive Borel measure on the positive real axis. We study the integral operator $$ \mathcal{H}_μ(f)(z)=\int_{0}^{\infty}\frac{1}{t}f\left(\frac{z}{t}\right)\,dμ(t),\q…

math.CV2019

Semigroups of composition operators in analytic Morrey spaces

Petros Galanopoulos, Noel Merchán, Aristomenis G. Siskakis

Analytic Morrey spaces belong to the class of function spaces which, like BMOA, are defined in terms of the degree of oscillation on the boundary of functions analytic in the unit…

math.CV2017★ 2 cited

Closed Range Composition Operators on Hardy Spaces

Petros Galanopoulos, Kostas Panteris

We show that the already known results for a composition operator to have closed range on H2 (Cima, Thomson, and Wogen (1974), Zorboska (1994)) can be extended to Hp for p>0 .

math.CV2017

A family of Dirichlet-Morrey spaces

Petros Galanopoulos, Noel Merchán, Aristomenis G. Siskakis

To each weighted Dirichlet space $D_{p}$ , $0 < p < 1$ , we associate a family of Morrey-type spaces $D_{p}^{λ}$ , $0 < λ < 1$ , constructed by imposing growth conditions on…

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.CV2014

Closure of Hardy spaces in the Bloch space

Petros Galanopoulos, Nacho Monreal Galán, Jordi Pau

A description of the Bloch functions that can be approximated in the Bloch norm by functions in the Hardy space $H^{p}$ of the unit ball of $\Cn$ for $0 < p < \infty$ is given. When $0<p…

math.CV2013

Mean Lipschitz conditions on Bergman space

P. Galanopoulos, A. G. Siskakis, G. Stylogiannis

For $f$ analytic on the unit disc let $r_{t} (f) (z) = f (e^{i t} z)$ and $f_{r} (z) = f (r z)$ , rotations and dilations respectively. We show that for $f$ in the Bergman space $A^{p}$ and $0<α\leq…

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…