Alessio Martini

activity

20202024

most citedMaximal characterisation of local Hardy spaces on locally doubling manifolds

5 citations · 11 across the 4 of their papers we have counts for

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2 papers · 1 filter

math.AP2024

An FIO-based approach to $L^{p}$ -bounds for the wave equation on $2$ -step Carnot groups: the case of Métivier groups

Alessio Martini, Detlef Müller

Let $L$ be a homogeneous left-invariant sub-Laplacian on a $2$ -step Carnot group. We devise a new geometric approach to sharp fixed-time $L^{p}$ -bounds with loss of derivat…

math.AP2020★ 4 cited

Weighted spectral cluster bounds and a sharp multiplier theorem for ultraspherical Grushin operators

Valentina Casarino, Paolo Ciatti, Alessio Martini

We study degenerate elliptic operators of Grushin type on the $d$ -dimensional sphere, which are singular on a $k$ -dimensional sphere for some $k < d$ . For these operators we prove…

An FIO-based approach to Lp-bounds for the wave equation on 2-step Carnot groups: the case of Métivier groups

Weighted spectral cluster bounds and a sharp multiplier theorem for ultraspherical Grushin operators

An FIO-based approach to $L^{p}$ -bounds for the wave equation on $2$ -step Carnot groups: the case of Métivier groups