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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 . This problem is intimately related to the study of factorable matrices on .…

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 of the Rhaly matrices, also known as terraced matrices. We completely characterize when su…

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 spaces harmonically weighted Dirichlet spaces . We completely characterize which spaces…

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 , associated with a boundary point , on the model space . We describe the…

math.FA2024

The Cesà ro operator on local Dirichlet spaces

Eugenio Dellepiane, Javad Mashreghi, Mostafa Nasri +1

The family of Cesà ro operators , and , consists of finite rank operators on Banach spaces of analytic functions on the open unit disc. In this wor…