9 citations · 37 across the 13 of their papers we have counts for
13 papers
Functions of Bounded Variation and Point Processes
J. Antezana, M. Levi, J. Marzo +1
We investigate the relationship between the analytical properties of functions of bounded variation and the statistical behavior of hyperuniform point processes. We establish sever…
Calderón-Zygmund theory on some Lie groups of exponential growth
Filippo De Mari, Matteo Levi, Matteo Monti +1
Let , where is a stratified Lie group and acts on via automorphic dilations. We prove that the group has the Calderón-Zygmund property…
Linear statistics of determinantal point processes and norm representations
Matteo Levi, Jordi Marzo, Joaquim Ortega-Cerdà
We study the asymptotic behavior of the fluctuations of smooth and rough linear statistics for determinantal point processes on the sphere and on the Euclidean space. The main tool…
Hardy-Littlewood maximal operators on trees with bounded geometry
Matteo Levi, Stefano Meda, Federico Santagati +1
In this paper we study the boundedness of the centred and the uncentred Hardy--Littlewood maximal operators on the class , , of trees with -bou…
Hardy--Littlewood fractional maximal operators on homogeneous trees
Matteo Levi, Federico Santagati
We study the mapping properties of the Hardy--Littlewood fractional maximal operator between Lorentz spaces of the homogeneous tree and discuss the optimality of all the results.
Poincaré inequalities on graphs
Matteo Levi, Federico Santagati, Anita Tabacco +1
We prove local -Poincaré inequalities, , on quasiconvex sets in infinite graphs endowed with a family of locally doubling measures, and global -Poincaré…
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…
Riesz transform for a flow Laplacian on homogeneous trees
Matteo Levi, Alessio Martini, Federico Santagati +2
We prove the -boundedness, for , of the first order Riesz transform associated to the flow Laplacian on a homogeneous tree with the canonical flow measure. T…
Analysis on trees with nondoubling flow measures
Matteo Levi, Federico Santagati, Anita Tabacco +1
We consider trees with root at infinity endowed with flow measures, which are nondoubling measures of at least exponential growth and which do not satisfy the isoperimetric inequal…
Distortion and Distribution of Sets under Inner Functions
Matteo Levi, Artur Nicolau, Odí Soler i Gibert
It is a classical result that Lebesgue measure on the unit circle is invariant under inner functions fixing the origin. In this setting, the distortion of Hausdorff contents has al…
Some Remarks on the Dirichlet Problem on Infinite Trees
Nikolaos Chalmoukis, Matteo Levi
We consider the Dirichlet problem on infinite and locally finite rooted trees, and we prove that the set of irregular points for continuous data has zero capacity. We also give som…
Equilibrium measures on trees
Nicola Arcozzi, Matteo Levi
We give a characterization of equilibrium measures for -capacities on the boundary of an infinite tree of arbitrary (finite) local degree. For , this provides, in the speci…
On a class of shift-invariant subspaces of the Drury-Arveson space
Nicola Arcozzi, Matteo Levi
In the Drury-Arveson space, we consider the subspace of functions whose Taylor coefficients are supported in the complement of a set with the property that $…