7 papers
Hardy spaces of discrete holomorphic functions on the upper half-lattice
Eugenio Dellepiane, Alessandro Monguzzi, Matteo Monti
We develop a theory of Hardy spaces of discrete holomorphic functions on the upper half-lattice, within the classical framework of discrete holomorphicity on the square latti…
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 .…
Orthogonal polynomials in de Branges--Rovnyak spaces
Eugenio Dellepiane, Daniel Seco
Given a function , holomorphic on the disc and bounded by 1, one can construct an associated reproducing kernel Hilbert space called the de Branges--Rovnyak space . We exp…
Infinitely supported harmonically weighted Dirichlet spaces which are de Branges Rovnyak spaces
Carlo Bellavita, Eugenio Dellepiane, Andreas Hartmann +1
Harmonically weighted Dirichlet spaces and de Branges_Rovnyak spaces are two fundamental structures in analytic function theory exhibiting rich an…
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…
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…