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

Two-weight dyadic Hardy's inequalities

 Nicola ArcozziNikolaos ChalmoukisMatteo LeviPavel Mozolyako

arXiv:2110.05450 

Riesz capacities of a set due to Dobiński

Nicola ArcozziNikolaos Chalmoukis

arXiv:2110.13657 

Quasi-nilpotency of generalized Volterra operators on sequence spaces

 Nikolaos ChalmoukisGeorgios Stylogiannis

arXiv:2005.01660 

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

 Nicola ArcozziNikolaos ChalmoukisAlessandro MonguzziMarco M. PelosoM. Salvatori

arXiv:2103.05067 

Holomorphic semigroups and Sarason's characterization of vanishing mean oscillation

 Nikolaos ChalmoukisVassilis Daskalogiannis

arXiv:2106.01294

A note on simply interpolating sequences for the Dirichlet space

 Nikolaos Chalmoukis

arXiv:2111.05050 

Analysis on trees with nondoubling flow measures

 Matteo LeviFederico SantagatiAnita TabaccoMaria Vallarino

arXiv:2011.01586 

Riesz transform for a flow Laplacian on homogeneous trees

 Matteo LeviFederico SantagatiAnita TabaccoMaria Vallarino

arXiv:2107.06620

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

 Pavel MozolyakoAlexander Volberg

arXiv:2109.00021

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

 P. MozolyakoG. PsaromiligkosA. Volberg

arXiv:2108.04789

Improved surrogate bi-parameter maximum principle

: Pavel MozolyakoGeorgios PsaromiligkosAlexander VolbergPavel Zorin-Kranich

arXiv:2101.01094 

The Sobolev embedding constant on Lie groups

 Tommaso BrunoMarco M. PelosoMaria Vallarino

arXiv:2006.07056 

Holomorphic Function Spaces on Homogeneous Siegel Domains

 Mattia CalziMarco M. Peloso

arXiv:2009.11083 

 

Carleson and reverse Carleson measures on homogeneous Siegel domains

 Mattia CalziMarco M. Peloso

arXiv:2105.06342 

Toeplitz and Cesàro-Type Operators on Homogeneous Siegel Domains

 Mattia CalziMarco M. Peloso

arXiv:2105.06348 

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

 Alessandro MonguzziMarco M. PelosoM. Salvatori

arXiv:2105.08458

Local and nonlocal Poincaré inequalities on Lie groups

Tommaso BrunoMarco M. PelosoMaria Vallarino

arXiv:2107.08664 

2020

Totally null sets and capacity in Dirichlet type spaces

 Nikolaos ChalmoukisMichael Hartz

arXiv:2007.01569 

Carleson embedding on tri-tree and on tri-disc

 Pavel MozolyakoGeorgios PsaromiligkosAlexander VolbergPavel Zorin-Kranich

arXiv:2001.02373 

Fractional Paley-Wiener and Bernstein spaces

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

arXiv:2003.00718 

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

 Nicola ArcozziRichard Rochberg

arXiv:2009.12707 

Quasi-nilpotency of generalized Volterra operators on sequence spaces

 Nikolaos ChalmoukisGeorgios Stylogiannis

arXiv:2005.01660 

2019

Nicola Arcozzi, Alessandro Monguzzi, Maura Salvatori

Ahlfors regular spaces have regular subspaces of any dimension

https://arxiv.org/abs/1912.02055

On compact affine quaternionic curves and surfaces

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

Alessandro Monguzzi, Marco M. Peloso, Maura Salvatori

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

Pavel Mozolyako, Georgios Psaromiligkos, Alexander Volberg

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

Elisha Falbel, Marco Maculan, Giulia Sarfatti

Configurations of flags in orbits of real forms

https://arxiv.org/abs/1802.10315

Matteo LeviArtur NicolauOdí Soler i Gibert

Distortion and Distribution of Sets under Inner Functions

https://arxiv.org/abs/1812.01510

Nicola ArcozziPavel MozolyakoKarl-Mikael PerfektGiulia Sarfatti

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

Nikolaos ChalmoukisMatteo Levi

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

Alessandro Monguzzi, Giulia Sarfatti

Shift invariant subspaces of slice L2 functions

https://arxiv.org/abs/1802.02344

Nikolaos Chalmoukis

Onto Interpolation for the Dirichlet Space and for W1,2(D)

arXiv:1807.08193

P. IvanisviliP. MozolyakoA. Volberg

Strong weighted and restricted weak weighted estimates of the square function

https://arxiv.org/abs/1804.06869

2017

Nicola ArcozziAlessandro MonguzziMarco M. PelosoMaura Salvatori

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

https://arxiv.org/abs/1710.10079

2016

Nicola ArcozziRichard RochbergEric Sawyer

Onto Interpolating Sequences for the Dirichlet Space

https://arxiv.org/abs/1605.02730