60 citations · 582 across the 67 of their papers we have counts for
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math.AP2018★ 11 cited
Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type
Alessio Martini, Detlef Müller, Sebastiano Nicolussi Golo
Let be a smooth second-order real differential operator in divergence form on a manifold of dimension . Under a bracket-generating condition, we show that the rang…
math.FA2018★ 12 cited
The Hausdorff-Young inequality on Lie groups
Michael G. Cowling, Alessio Martini, Detlef Müller +1
We prove several results about the best constants in the Hausdorff-Young inequality for noncommutative groups. In particular, we establish a sharp local central version for compact…
math.FA2018★ 5 cited
Riesz transforms on solvable extensions of stratified groups
Alessio Martini, Maria Vallarino
Let , where is a stratified group and acts on via automorphic dilations. Homogeneous sub-Laplacians on and can be lifted to left-i…