C. Bellavita

activity

20242026

collaborators

12 papers

math.CV2026

Discrete random Clark measures and associated inner functions

Carlo Bellavita, Nikolaos Chalmoukis, Giuseppe Lamberti

We study a class of random inner functions $I ¨ $ whose Clark measure at $1$ is the weighted sum of point masses supported on independent uniformly distributed points of $T$ .…

math.FA2026

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.

math.CV2025

Carleson Measures, Vanishing Mean Oscillation and Critical Points

Carlo Bellavita, Artur Nicolau, Georgios Stylogiannis

Given a finite positive Borel measure $I^¼$ in the open unit disc of the complex plane, we construct a bounded outer function $E$ whose boundary values have vanishing mean oscillati…

math.FA2025

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 $ℓ^{2}$ of the Rhaly matrices, also known as terraced matrices. We completely characterize when su…

math.CV2025

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

Carlo Bellavita, Ãlvaro Miguel Moreno, Georgios Nikolaidis +1

Given a radial doubling weight $I^¼$ on the unit disc $D$ of the complex plane and its odd moments $I^¼_{2 n + 1} = \int_{0}^{1} s^{2 n + 1} I^¼ (s) d s$ , we consider the fractional deriv…

math.FA2025

On Toeplitz operators on $H^{1} (C^{+})$

Carlo Bellavita, Marco M. Peloso

In this paper we consider Toeplitz operators with anti-analytic symbols on $H^{1} (C^{+})$ . It is well known that there are no bounded Toeplitz operators $T_{\overlineÎ}\colon…