34 citations · 120 across the 27 of their papers we have counts for
32 papers
A Note on Hardy Spaces on Polyhedral Tube Domains
Mattia Calzi
We provide a description of the real variable Hardy spaces , associated to a regular polyhedral open convex cone, devised as real variable analogues of the holomo…
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…
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…
Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups, III: the Spaces
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…
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…
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.
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…
Clark Measures Associated with Rational Inner Functions on Bounded Symmetric Domains
Mattia Calzi
Given a bounded symmetric domain in , we consider the Clark measures , , associated with a rational inner function from into the unit…
Sharp defective log-Sobolev inequalities on H-type groups
Gioacchino Antonelli, Mattia Calzi, Maria Gordina
In this paper we prove a sharp defective log-Sobolev inequality on H-type groups. Then we use such an inequality to show exponential integrability of Lipschitz functions with respe…
Positive Pluriharmonic Functions on Symmetric Siegel Domains
Mattia Calzi
Given a symmetric Siegel domain and a positive plurihamonic function on , we study the largest positive Radon measure on the Silov boundary $\mathr…
Clark Measures on Bounded Symmetric Domains
Mattia Calzi
Given a bounded symmetric domain , we study (positive) pluriharmonic functions on and investigate a possible analogue of the family of Clark measures associated with a holom…
An Integral Version of Hardy's Inequality
Mattia Calzi
In this note we present a version of Hardy's inequality on a measure space endowed with a measurable function which replaces the absolute value on…
On the Theory of Bergman Spaces on Homogeneous Siegel Domains
Mattia Calzi, Marco M. Peloso
We consider mixed normed Bergman spaces on homogeneous Siegel domains. In the literature, two different approaches have been considered and several results seem difficult to be com…
Invariant Spaces of Holomorphic Functions on Symmetric Siegel domains
Mattia Calzi
In this paper we consider a symmetric Siegel domain and some natural representations of the Möbius group of its biholomorphisms and of the group of its affin…
A Survey on Invariant Spaces of Holomorphic Functions on Symmetric Domains
Mattia Calzi
We present some old and new results on a class of invariant spaces of holomorphic functions on symmetric domains, both in their circular bounded realizations and in their unbounded…
Invariant Spaces of Holomorphic Functions on the Siegel Upper Half-Space
Mattia Calzi, Marco M. Peloso
In this paper we consider the (ray) representations of the group of biholomorphisms of the Siegel upper half-space defined by $U_s(φ) f=(f\circ φ^{-1})…
Boundedness of Bergman projectors on homogeneous Siegel domains
Mattia Calzi, Marco M. Peloso
In this paper we study the boundedness of Bergman projectors on weighted Bergman spaces on homogeneous Siegel domains of Type II. As it appeared to be a natural approach in the spe…
Carleson and Sampling measures on Bernstein spaces on Siegel CR Manifolds
Mattia Calzi, Marco M. Peloso
In this paper we introduce and study Carleson and sampling measures on Bernstein spaces on a class of quadratic CR manifold called Siegel CR manifolds. These are spaces of entire f…
Bernstein Spaces on Siegel CR Manifolds
Mattia Calzi, Marco M. Peloso
In this paper we introduce and study Bernstein spaces on a class of quadratic CR manifolds, that we call Siegel CR manifolds. These are spaces of entire functions of exponential ty…
A Note on Hardy Spaces on Quadratic CR Manifolds
Mattia Calzi
Given a quadratic CR manifold embedded in a complex space, and a holomorphic function on a tubular neighbourhood of , we show that the -norms of…
Paley-Wiener-Schwartz Theorems on Quadratic CR Manifolds
Mattia Calzi
Given a quadratic CR manifold embedded in a complex space, we study Paley-Wiener-Schwartz theorems for spaces of Schwartz functions and tempered distributions on $\ma…
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 of a homogeneous Siegel domain , and study their properties in relation to convolution…
Schrödinger operators on Lie groups with purely discrete spectrum
Tommaso Bruno, Mattia Calzi
On a Lie group , we investigate the discreteness of the spectrum of Schrödinger operators of the form , where is a subelliptic sub-Laplacian on …
Toeplitz and Cesàro-Type Operators on Homogeneous Siegel Domains
Mattia Calzi, Marco M. Peloso
In this paper we study Toeplitz and Cesàro-type operators on holomorphic function spaces on a homogeneous Siegel domain of Type II. We prove several necessary conditions and suffic…