# Papers

Here you can find the most recent research works of the members of the Lab and their collaborators. The list is not complete: see the web pages of the authors.

## 2021

Riesz capacities of a set due to Dobiński

Quasi-nilpotency of generalized Volterra operators on sequence spaces

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

Holomorphic semigroups and Sarason's characterization of vanishing mean oscillation

arXiv:2106.01294

A note on simply interpolating sequences for the Dirichlet space

Analysis on trees with nondoubling flow measures

Riesz transform for a flow Laplacian on homogeneous trees

arXiv:2107.06620

Differences between the potential theories on a tree and on a bi-tree

arXiv:2109.00021

Multi-parameter Carleson embeddings for p2 on T2 or for p=2 on T4, and why the proofs fail

arXiv:2108.04789

Improved surrogate bi-parameter maximum principle

The Sobolev embedding constant on Lie groups

Holomorphic Function Spaces on Homogeneous Siegel Domains

Carleson and reverse Carleson measures on homogeneous Siegel domains

Toeplitz and Cesàro-Type Operators on Homogeneous Siegel Domains

Sampling in spaces of entire functions of exponential type in Cn+1

arXiv:2105.08458

Local and nonlocal Poincaré inequalities on Lie groups

## 2020

Totally null sets and capacity in Dirichlet type spaces

Carleson embedding on tri-tree and on tri-disc

### Alessandro Monguzzi, Marco M. Peloso, Maura Salvatori

https://arxiv.org/abs/2002.12015

(Ir-)regularity of canonical projection operators on some weakly pseudoconvex domains

Authors: Alessandro MonguzziMarco M. Peloso

### Bellman function for Hardy's inequality over dyadic trees

Michelangelo Cavina

https://arxiv.org/abs/2002.07532

The Hardy space from an engineer's perspective

Quasi-nilpotency of generalized Volterra operators on sequence spaces

## 2019

### Ahlfors regular spaces have regular subspaces of any dimension

https://arxiv.org/abs/1912.02055

### Graziano Gentili, Anna Gori, Giulia Sarfatti

https://arxiv.org/abs/1911.06120

Alessandro Monguzzi

### Holomorphic function spaces on the Hartogs triangle

https://arxiv.org/abs/1910.13741

Nikolaos Chalmoukis

### Generalized Integration Operators on Hardy Spaces

https://arxiv.org/abs/1909.00636

### Fractional Laplacian, homogeneous Sobolev spaces and their realizations

https://arxiv.org/abs/1910.05980

Nicola Arcozzi, Pavel Mozolyako, Alexander Volberg, Pavel Zorin-Kranich

A combinatorial property of planar measures and bi-parameter Carleson embeddings with product weights

https://arxiv.org/abs/1906.11150

Counterexamples for bi-parameter Carleson embedding

https://arxiv.org/abs/1906.11145

Pavel Mozolyako, Artur Nicolau

Oscillation of Functions in the Hölder class

https://arxiv.org/abs/1905.04911

Nikolaos Chalmoukis, Andreas Hartmann, Karim Kellay, Brett Wick

Random interpolating sequences in Dirichlet spaces

https://hal.archives-ouvertes.fr/hal-02113238v1/document

### 2018

Configurations of flags in orbits of real forms

https://arxiv.org/abs/1802.10315

Distortion and Distribution of Sets under Inner Functions

https://arxiv.org/abs/1812.01510

Biparameter Potential Theory and the Carleson measures for the Dirichlet space on the bidisc

arXiv:1811.04990

Nicola ArcozziMatteo Levi
Equilibrium measures on trees

arXiv:1811.05194

Some Remarks on the Dirichlet Problem on Infinite Trees

https://arxiv.org/abs/1811.02263

Nicola Arcozzi, Pavel Mozolyako, Karl-Mikael Perfekt

Some properties related to trace inequalities for the multi-parameter Hardy operators on poly-trees

https://arxiv.org/abs/1811.01036

NICOLA ARCOZZI, IRINA HOLMES, PAVEL MOZOLYAKO, AND ALEXANDER VOLBERG

BI-PARAMETER EMBEDDING AND MEASURES WITH RESTRICTION ENERGY CONDITION

https://arxiv.org/pdf/1811.00978.pdf

QUATERNIONIC INNER AND OUTER FUNCTIONS

https://arxiv.org/abs/1810.10070

### Shift invariant subspaces of slice L2 functions

https://arxiv.org/abs/1802.02344

Nikolaos Chalmoukis

arXiv:1807.08193

### Bellman function sitting on a tree

https://arxiv.org/abs/1809.03397

### On a class of shift-invariant subspaces of the Drury-Arveson space

arXiv:1703.04422

Strong weighted and restricted weak weighted estimates of the square function

https://arxiv.org/abs/1804.06869

### Paley--Wiener theorems on the Siegel upper half-space

https://arxiv.org/abs/1710.10079

### 2016

Onto Interpolating Sequences for the Dirichlet Space

https://arxiv.org/abs/1605.02730