G. Sarfatti

activity

20132026

most citedA Bloch-Landau Theorem for slice regular functions

24 citations · 100 across the 17 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.CV2015

Some Hilbert Spaces related with the Dirichlet space

Nicola Arcozzi, Karl-Mikael Perfekt, Pavel Mozolyako +2

We do a preliminary study of the reproducing kernel Hilbert space having as kernel $k^{d}$ , where $d$ is a positive integer and $k$ is the reproducing kernel of the analytic Dirichle…

math.CV2015★ 5 cited

The orthogonal projection on slice functions on the quaternionic sphere

Nicola Arcozzi, Giulia Sarfatti

We study the $L^{p}$ norm of the orthogonal projection from the space of quaternion valued $L^{2}$ functions to the closed subspace of slice $L^{2}$ functions.

math.CV2015★ 5 cited

Quaternionic Hankel operators and approximation by slice regular functions

Giulia Sarfatti

In this paper we study Hankel operators in the quaternionic setting. In particular we prove that they can be exploited to measure the $L^{\infty}$ distance of a slice $L^{\infty}$ …