activity
20022026
most citedThe Dirichlet space: A Survey

47 citations · 173 across the 31 of their papers we have counts for

collaborators

35 papers

math.AP2026

Dyadic potential theory and de Rham functions

Nicola Arcozzi

We study de Rham functional equations driven by two increasing fractional linear transformations. Our main purpose is to relate the singularity theory of the associated solutions t…

math.CA2021★ 2 cited

Riesz capacities of a set due to Dobiński

Nicola Arcozzi, Nikolaos Chalmoukis

We study the Riesz -capacity of the so called Dobiński set. We characterize the values of the parameters and for which the -Riesz capacity of the Dobiński set…

math.CA2021★ 3 cited

Two-weight dyadic Hardy's inequalities

Nicola Arcozzi, Nikolaos Chalmoukis, Matteo Levi +1

We present various results concerning the two-weight Hardy's inequality on infinite trees. Our main scope is to survey known characterizations (and proofs) for trace measures, as w…

math.FA2021★ 2 cited

The Drury--Arveson space on the Siegel upper half-space and a von Neumann type inequality

Nicola Arcozzi, Nikolaos Chalmoukis, Alessandro Monguzzi +2

In this work we study what we call Siegel--dissipative vector of commuting operators on a Hilbert space and we obtain a von Neumann type inequa…

math.CV2020

The Hardy space from an engineer's perspective

Nicola Arcozzi, Richard Rochberg

We give an overview of parts of the theory of Hardy spaces from the viewpoint of signals and systems theory. There are books on this topic, which dates back to Bode, Nyquist, and W…

math.MG2019★ 2 cited

Ahlfors regular spaces have regular subspaces of any dimension

Nicola Arcozzi, Alessandro Monguzzi, Maura Salvatori

We characterize -dimensional Ahlfors regular spaces among trees' boundaries and show how to construct, for each , an -regular subspace. As an application, we give a…