3 papers
math.CV2020
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…
math.CV2020
(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…
math.CA2019
Fractional Laplacian, homogeneous Sobolev spaces and their realizations
Alessandro Monguzzi, Marco M. Peloso, Maura Salvatori
We study the fractional Laplacian and the homogeneous Sobolev spaces on R^d , by considering two definitions that are both considered classical. We compare these different definiti…