4 papers · 1 filter
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 a…
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…
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 o…
The Cesàro operator on local Dirichlet spaces
Eugenio Dellepiane, Javad Mashreghi, Mostafa Nasri +1
The family of Cesàro operators , and , consists of finite rank operators on Banach spaces of analytic functions on the open unit disc. In this work, w…