Alessio Martini

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20232026

most citedRiesz transform and spectral multipliers for the flow Laplacian on nonhomogeneous trees

1 citations · 1 across the 4 of their papers we have counts for

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math.FA2024

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

Alessio Martini, Paweł 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, Paweł Plewa

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

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