4 citations · 16 across the 12 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…