C. Bellavita

collaborators

6 papers

math.CV2025

Carleson Measures, Vanishing Mean Oscillation and Critical Points

Carlo Bellavita, Artur Nicolau, Georgios Stylogiannis

Given a finite positive Borel measure $μ$ in the open unit disc of the complex plane, we construct a bounded outer function $E$ 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 $μ$ on the unit disc $D$ of the complex plane and its odd moments $μ_{2 n + 1} = \int_{0}^{1} s^{2 n + 1} μ (s) d s$ , we consider the fractional derivati…

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_{\overlineΘ}\colon…

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.CV2024

Meromorphic Optimal domain of Integral Operators

Carlo Bellavita, Anil Belli, Georgios Nikolaidis +1

For $g \in B M O A$ , we introduce the meromorphic optimal domain $(T_{g}, H^{p})$ , i.e. the space containing the meromorphic functions that are mapped under the action of the generalized Vo…

math.FA2024

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 $H^{2}$ . We characterize when these operators are uniform, strong and weakly asymptotic Toe…