G. Dall’Ara

activity

20132026

most citedAn optimal multiplier theorem for Grushin operators in the plane, I

6 citations · 29 across the 23 of their papers we have counts for

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math.CA2025

On the best constant in the finitary Vitali covering lemma for high dimensional cubes

Gian Maria Dall'Ara

Let $Γ_{d}$ be the largest constant such that every finite collection of cubes in $R^{d}$ whose sides are parallel to the coordinate axes admits a disjoint sub-collection occu…

math.CA2021★ 5 cited

An optimal multiplier theorem for Grushin operators in the plane, II

Gian Maria Dall'Ara, Alessio Martini

In a previous work we proved a spectral multiplier theorem of Mihlin--Hörmander type for two-dimensional Grushin operators $- \partial_{x}^{2} - V (x) \partial_{y}^{2}$ , where $V$ is a doubl…

math.CA2013

Uncertainty inequalities on groups and homogeneous spaces via isoperimetric inequalities

Gian Maria Dall'Ara, Dario Trevisan

We prove a family of $L^{p}$ uncertainty inequalities on fairly general groups and homogeneous spaces, both in the smooth and in the discrete setting. The crucial point is the proof…