activity
20222026
most citedGeneralized Hilbert matrix operators acting on Bergman spaces

4 citations · 16 across the 17 of their papers we have counts for

collaborators
Showing math.CVShow all

7 papers · 1 filter

math.CV2026

Discrete random Clark measures and associated inner functions

Carlo Bellavita, Nikolaos Chalmoukis, Giuseppe Lamberti

We study a class of random inner functions whose Clark measure at is the weighted sum of point masses supported on independent uniformly distributed points of .…

math.CV2025

Carleson Measures, Vanishing Mean Oscillation and Critical Points

Carlo Bellavita, Artur Nicolau, Georgios Stylogiannis

Given a finite positive Borel measure in the open unit disc of the complex plane, we construct a bounded outer function whose boundary values have vanishing mean oscillatio…

math.CV2025

Fractional Volterra-type operator induced by radial weight acting on Hardy space

Carlo Bellavita, Álvaro Miguel Moreno, Georgios Nikolaidis +1

Given a radial doubling weight on the unit disc of the complex plane and its odd moments , we consider the fractional derivati…

math.CV2024

Meromorphic Optimal domain of Integral Operators

Carlo Bellavita, Anil Belli, Georgios Nikolaidis +1

For , we introduce the meromorphic optimal domain , i.e. the space containing the meromorphic functions that are mapped under the action of the generalized Vo…

math.CV2024★ 4 cited

Generalized Hilbert matrix operators acting on Bergman spaces

Carlo Bellavita, Vassilis Daskalogiannis, Santeri Miihkinen +3

In this article we study the generalized Hilbert matrix operator acting on the Bergman spaces of the unit disc for . In particular, we characterize the…

math.CV2024★ 3 cited

Optimal Domain of generalized Volterra operators

Carlo Bellavita, Vasilis Daskalogiannis, Georgios Nikolaidis +1

For g in BMOA, we consider the generalized Volterra operator T_g acting on Hardy spaces H^p. This article aims to study the largest space of analytic functions, which is mapped by…

math.CV2022

One-component bounded functions

Carlo Bellavita, Artur Nicolau

Three different characterizations of one-component bounded analytic functions are provided. The first one is related to the the inner-outer factorization, the second one is in term…