Alessio Martini

collaborators

3 papers

math.FA2026

Riesz transforms for the distinguished Laplacian on Damek-Ricci spaces and operator-valued multivariate spectral multipliers

Jie Liu, Alessio Martini

Let $I^ = \nabla^{*} \nabla$ be the distinguished Laplacian on a Damek-Ricci space. We prove the $L^{p}$ -boundedness of the vector of first-order Riesz transforms $\nabla I^^{- 1/2}$ i…

math.FA2024

$L^{p}$ -boundedness of Riesz transforms on solvable extensions of Carnot groups

Alessio Martini, PaweÅ Plewa

Let $G = N ⋊ R$ , where $N$ is a Carnot group and $R$ acts on $N$ via automorphic dilations. Homogeneous left-invariant sub-Laplacians on $N$ and $R$ c…

math.FA2024

Singular integrals on $a x + b$ hypergroups and an operator-valued spectral multiplier theorem

Alessio Martini, PaweÅ Plewa

Let $L_{I^} ½ = - \partial_{x}^{2} - (I^½ - 1) x^{- 1} \partial_{x}$ be the Bessel operator on the half-line $X_{I^} ½ = [0, \infty)$ with measure $x^{I^½ - 1} d x$ . In this work we study singular…

Riesz transforms for the distinguished Laplacian on Damek-Ricci spaces and operator-valued multivariate spectral multipliers

Lp-boundedness of Riesz transforms on solvable extensions of Carnot groups

Singular integrals on ax+b hypergroups and an operator-valued spectral multiplier theorem

$L^{p}$ -boundedness of Riesz transforms on solvable extensions of Carnot groups

Singular integrals on $a x + b$ hypergroups and an operator-valued spectral multiplier theorem