E. Dellepiane

activity

20232026

collaborators

9 papers

math.CV2026

Hardy spaces of discrete holomorphic functions on the upper half-lattice

Eugenio Dellepiane, Alessandro Monguzzi, Matteo Monti

We develop a theory of Hardy spaces $H^{p}$ of discrete holomorphic functions on the upper half-lattice, within the classical framework of discrete holomorphicity on the square latti…

math.FA2026

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 $H^{2} (ω)$ . This problem is intimately related to the study of factorable matrices on $ℓ^{2}$ .…

math.CV2026

Orthogonal polynomials in de Branges--Rovnyak spaces

Eugenio Dellepiane, Daniel Seco

Given a function $b$ , holomorphic on the disc and bounded by 1, one can construct an associated reproducing kernel Hilbert space called the de Branges--Rovnyak space $H (b)$ . We exp…

math.CV2025

Infinitely supported harmonically weighted Dirichlet spaces which are de Branges Rovnyak spaces

Carlo Bellavita, Eugenio Dellepiane, Andreas Hartmann +1

Harmonically weighted Dirichlet spaces $D_{μ}$ and de Branges_Rovnyak spaces $H (b)$ are two fundamental structures in analytic function theory exhibiting rich and…

math.FA2025

On the equality of De Branges-Rovnyak and Dirichlet spaces

Eugenio Dellepiane, Marco M. Peloso, Anita Tabacco

This work is devoted to the comparison of de Branges--Rovnyak $H (b)$ spaces harmonically weighted Dirichlet spaces $D_{μ}$ . We completely characterize which $H (b)$ spaces a…

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.FA2024

The spectral analysis of the difference quotient operator on model spaces

Carlo Bellavita, Eugenio Alberto Dellepiane, Javad Mashreghi

We conduct a spectral analysis of the difference quotient operator $Q_{ζ}^{u}$ , associated with a boundary point $ζ \in \partial D$ , on the model space $K_{u}$ . We describe the o…

math.FA2024

The Cesàro operator on local Dirichlet spaces

Eugenio Dellepiane, Javad Mashreghi, Mostafa Nasri +1

The family of Cesàro operators $σ_{n}^{α}$ , $n \geq 0$ and $α \in [0, 1]$ , consists of finite rank operators on Banach spaces of analytic functions on the open unit disc. In this work, w…

math.FA2023

Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces

Carlo Bellavita, Eugenio Alberto Dellepiane

In this paper we study embeddings between de Branges-Rovnyak spaces $H (b)$ and harmonically weighted Dirichlet spaces $D (μ)$ in terms of the boundary spectrum of $b$ and…