5 papers · 1 filter
Fractional Paley-Wiener and Bernstein spaces
Alessandro Monguzzi, Marco M. Peloso, Maura Salvatori
We introduce and study a family of spaces of entire functions in one variable that generalise the classical Paley-Wiener and Bernstein spaces. Namely, we consider entire functions…
(Ir-)regularity of canonical projection operators on some weakly pseudoconvex domains
Alessandro Monguzzi, Marco M. Peloso
In this paper we discuss some recent results concerning the regularity and irregularity of the Bergman and Szegő projections on some weakly pseudoconvex domains that have the commo…
Holomorphic function spaces on the Hartogs triangle
Alessandro Monguzzi
The definition of classical holomorphic function spaces such as the Hardy space or the Dirichlet space on the Hartogs triangle is not canonical. In this paper we introduce a natura…
Quaternionic inner and outer functions
Alessandro Monguzzi, Giulia Sarfatti, Daniel Seco
We study properties of inner and outer functions in the Hardy space of the quaternionic unit ball. In particular, we give sufficient conditions as well as necessary ones for functi…
Shift invariant subspaces of slice functions
Alessandro Monguzzi, Giulia Sarfatti
In this paper we characterize the closed invariant subspaces for the (-)multiplier operator of the quaternionic space of slice functions. As a consequence, we obtain the i…