Mattia Calzi

activity

20162026

most citedA distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II

34 citations · 120 across the 27 of their papers we have counts for

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15 papers · 1 filter

math.FA2026

A Note on Hardy Spaces on Polyhedral Tube Domains

Mattia Calzi

We provide a description of the real variable Hardy spaces $H^{p}$ , $p \in (0, 1]$ associated to a regular polyhedral open convex cone, devised as real variable analogues of the holomo…

math.FA2026

Besov and Triebel-Lizorkin Spaces on Filtered Lie Groups with Polynomial Growth, II: Interpolation, Localization, Pointwise Multiplication

Mattia Calzi

We continue to develop a theory of Besov and Triebel-Lizorkin spaces associated with weighted subcoercive operators on a real connected Lie group, specializing to the case of group…

math.FA2026

Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups with Polynomial Growth, I: Inclusions, Discretization, Duality

Mattia Calzi

We continue to develop a theory of Besov and Triebel-Lizorkin spaces associated with weighted subcoercive operators on a real connected Lie group, specializing to the case of group…

math.FA2026

Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups, III: the Spaces $F_{α}^{\infty, q}$

Mattia Calzi

We continue to develop a theory of (Besov and) Triebel--Lizorkin spaces associated with weighted subcoercive operators on a real connected Lie group, focusing on the Triebel--Lizor…

math.FA2026

Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups, II: Pointwise Multiplication, Localization, Differences

Mattia Calzi

We continue to develop a theory of Besov and Triebel-Lizorkin spaces associated with weighted subcoercive operators on a real connected Lie group, focusing on the algebra propertie…

math.FA2026

Function spaces for weighted subcoercive operators

Tommaso Bruno, Mattia Calzi, Marco M. Peloso

We develop a theory of Sobolev, Besov and Triebel--Lizorkin spaces associated with weighted subcoercive operators on any real connected Lie group.

math.FA2026

Vector-Valued Singular Integrals on Locally Doubling Spaces

Mattia Calzi, Elena Rizzo

We prove vector-valued boundedness of (suitable) Calderon-Zygmund operators and of the (truncated) Hardy-Littlewood maximal function on a connected locally doubling metric measure…

math.FA2023

An Integral Version of Hardy's Inequality

Mattia Calzi

In this note we present a version of Hardy's inequality on a measure space $(X, μ)$ endowed with a measurable function $N : X \to R$ which replaces the absolute value on…

math.FA2021★ 7 cited

Besov Spaces of Analytic Type: Interpolation, Convolution, Fourier Multipliers, Inclusions

Mattia Calzi

We consider a family of Besov spaces of analytic type on the Shilov boundary $N$ of a homogeneous Siegel domain $D$ , and study their properties in relation to convolution…

math.FA2021★ 4 cited

Schrödinger operators on Lie groups with purely discrete spectrum

Tommaso Bruno, Mattia Calzi

On a Lie group $G$ , we investigate the discreteness of the spectrum of Schrödinger operators of the form $L + V$ , where $L$ is a subelliptic sub-Laplacian on $G$ …

math.FA2020★ 34 cited

A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II

Elia Bruè, Mattia Calzi, Giovanni E. Comi +1

We continue the study of the space $B V^{α} (R^{n})$ of functions with bounded fractional variation in $R^{n}$ and of the distributional fractional Sobolev space $S^{α,p}(\…

math.FA2020★ 1 cited

Functional Calculus on Non-Homogeneous Operators on Nilpotent Groups

Mattia Calzi, Fulvio Ricci

We study the functional calculus associated with a hypoelliptic left-invariant differential operator $L$ on a connected and simply connected nilpotent Lie group $G$ with…

math.FA2019★ 2 cited

Spectral Multipliers on $2$ -Step Stratified Groups, II

Mattia Calzi

Given a graded group $G$ and commuting, formally self-adjoint, left-invariant, homogeneous differential operators $L_{1}, \dots, L_{n}$ on $G$ , one of which is Rockl…

math.FA2019★ 3 cited

Spectral Multipliers on 2-step Stratified Groups, I

Mattia Calzi

Given a $2$ -step stratified group which does not satisfy a slight strengthening of the Moore-Wolf condition, a sub-Laplacian $L$ and a family $T$ of elements of…

math.FA2016★ 1 cited

Weighted sub-Laplacians on Métivier Groups: Essential Self-Adjointness and Spectrum

Tommaso Bruno, Mattia Calzi

Let $G$ be a Métivier group and let $N$ be any homogeneous norm on $G$ . For $α > 0$ denote by $w_{α}$ the function $e^{- N^{α}}$ and consider the weighted sub-Laplacian $\mathcal{L}^{w_α}…

A Note on Hardy Spaces on Polyhedral Tube Domains

Besov and Triebel-Lizorkin Spaces on Filtered Lie Groups with Polynomial Growth, II: Interpolation, Localization, Pointwise Multiplication

Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups with Polynomial Growth, I: Inclusions, Discretization, Duality

Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups, III: the Spaces Fα∞,q​

Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups, II: Pointwise Multiplication, Localization, Differences

Function spaces for weighted subcoercive operators

Vector-Valued Singular Integrals on Locally Doubling Spaces

An Integral Version of Hardy's Inequality

Besov Spaces of Analytic Type: Interpolation, Convolution, Fourier Multipliers, Inclusions

Schrödinger operators on Lie groups with purely discrete spectrum

A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II

Functional Calculus on Non-Homogeneous Operators on Nilpotent Groups

Spectral Multipliers on 2-Step Stratified Groups, II

Spectral Multipliers on 2-step Stratified Groups, I

Weighted sub-Laplacians on Métivier Groups: Essential Self-Adjointness and Spectrum

Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups, III: the Spaces $F_{α}^{\infty, q}$

Spectral Multipliers on $2$ -Step Stratified Groups, II