24 citations · 100 across the 17 of their papers we have counts for
5 papers · 2 filters
From Hankel operators to Carleson measures in a quaternionic variable
Nicola Arcozzi, Giulia Sarfatti
We introduce and study Hankel operators defined on the Hardy space of regular functions of a quaternionic variable. Theorems analogous to those of Nehari anc C. Fefferman are prove…
Landau-Toeplitz theorems for slice regular functions over quaternions
Graziano Gentili, Giulia Sarfatti
The theory of slice regular functions of a quaternionic variable extends the notion of holomorphic function to the quaternionic setting. This theory, already rich of results, is so…
A Bloch-Landau Theorem for slice regular functions
Chiara Della Rocchetta, Graziano Gentili, Giulia Sarfatti
The Bloch-Landau Theorem is one of the basic results in the geometric theory of holomorphic functions. It establishes that the image of the open unit disc under a holo…
The Bohr Theorem for slice regular functions
Chiara Della Rocchetta, Graziano Gentili, Giulia Sarfatti
In this paper we prove the Bohr Theorem for slice regular functions. Following the historical path that led to the proof of the classical Bohr Theorem, we also extend the Borel-Car…
Quaternionic Hardy spaces
Chiara de Fabritiis, Graziano Gentili, Giulia Sarfatti
The theory of slice regular functions of a quaternionic variable, introduced in 2006 by Gentili and Struppa, extends the notion of holomorphic function to the quaternionic setting.…