4 citations · 16 across the 17 of their papers we have counts for
17 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…
Interchanging limits in the mutual information of two intervals separated by one site
Carlo Bellavita, Jani A. Virtanen
In the paper J. Phys. A: Math. Theor. 53 (2020), 345303, the limiting mutual information between two intervals separated by one lattice site in a free-fermion chain was evaluated.…
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 .…
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…
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…
On Toeplitz operators on
Carlo Bellavita, Marco M. Peloso
In this paper we consider Toeplitz operators with anti-analytic symbols on . It is well known that there are no bounded Toeplitz operators $T_{\overlineΘ}\colon…
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…
Duality, and Hankel operators on Bernstein spaces
Carlo Bellavita, Marco M. Peloso
In this paper we deal with the problem of describing the dual space of the Bernstein space , that is the space of entire functions of exponential type at most $κ…
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…
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…