4 citations · 16 across the 13 of their papers we have counts for
13 papers
A discrete Mellin calculus in the Toeplitz algebra
Carlo Bellavita, Georgios Stylogiannis
We prove that the classical Cesàro operator belongs to the Toeplitz algebra, providing an independent solution to a question raised by Barría and Halmos. Our approach is based on a…
Rhaly operators on weighted Hardy spaces and factorable matrices
Carlo Bellavita, Eugenio Dellepiane, Georgios Stylogiannis
In this paper, we study properties of Rhaly operators acting on weighted Hardy spaces . This problem is intimately related to the study of factorable matrices on .…
Spectrum of Hausdorff operators on weighted Bergman and Hardy spaces of the upper half-plane
Carlo Bellavita, Georgios Stylogiannis
We characterize the spectrum of Hausdorff operators on weighted Bergman and power weighted Hardy spaces of the upper half-plane.
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…
Boundedness, compactness and Schatten class for Rhaly matrices
Carlo Bellavita, Eugenio Dellepiane, Georgios Stylogiannis
In this article we present new proofs for the boundedness and the compactness on of the Rhaly matrices, also known as terraced matrices. We completely characterize when su…
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…
On the Hilbert matrix operator: a brief survey
Carlo Bellavita, Vassilis Daskalogiannis, Georgios Stylogiannis
This article aims to explore the most recent developments in the study of the Hilbert matrix, acting as an operator on spaces of analytic functions and sequence spaces. We present…
On asymptotic and essential Toeplitz and Hankel integral operator
C. Bellavita, G. Stylogiannis
In this article we consider the generalized integral operators acting on the Hilbert space . We characterize when these operators are uniform, strong and weakly asymptotic Toe…
Hilbert matrix operator acting between conformally invariant spaces
Carlo Bellavita, Georgios Stylogiannis
In this article we study the action of the the Hilbert matrix operator from the space of bounded analytic functions into conformally invariant Banach spaces. In partic…
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…
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…
Generalized Hilbert operators arising from Hausdorff matrices
Carlo Bellavita, Nikolaos Chalmoukis, Vassilis Daskalogiannis +1
For a finite, positive, Borel measure on we consider an infinite matrix , related to the classical Hausdorff matrix defined by the same measure , in the same al…
Quasi-nilpotency of generalized Volterra operators on sequence spaces
Nikolaos Chalmoukis, Georgios Stylogiannis
We study the quasi-nilpotency of generalized Volterra operators on spaces of power series with Taylor coefficients in weighted spaces . Our main result is th…