5 citations · 11 across the 4 of their papers we have counts for
4 papers
An FIO-based approach to -bounds for the wave equation on -step Carnot groups: the case of Métivier groups
Alessio Martini, Detlef Müller
Let be a homogeneous left-invariant sub-Laplacian on a -step Carnot group. We devise a new geometric approach to sharp fixed-time -bounds with loss of derivat…
Maximal characterisation of local Hardy spaces on locally doubling manifolds
Alessio Martini, Stefano Meda, Maria Vallarino
We prove a radial maximal function characterisation of the local atomic Hardy space h^1(M) on a Riemannian manifold M with positive injectivity radius and Ricci curvature bounded f…
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 -dimensional sphere, which are singular on a -dimensional sphere for some . For these operators we prove…
Uniform pointwise estimates for ultraspherical polynomials
Valentina Casarino, Paolo Ciatti, Alessio Martini
We prove pointwise bounds for two-parameter families of Jacobi polynomials. Our bounds imply estimates for a class of functions arising from the spectral analysis of distinguished…