67 citations · 84 across the 18 of their papers we have counts for
26 papers
Taylor polynomials on left-quotients of Carnot groups
Alessandro Ottazzi
We prove classical Taylor polynomial theorems for sub-Riemannian manifolds that are obtained as the submetric image of a Carnot group. For these theorems we also prove a sufficient…
Quasi-conformal VS quasi-isometric equivalence in spaces with controlled growth
Katrin FÄssler, Enrico Le Donne, Sebastiano Nicolussi Golo +2
We study conditions under which quasi-conformal homeomorphisms are quasi-isometries. We show that if two nilpotent geodesic Lie groups are quasi-conformally homeomorphic, then they…
Harmonic Bergman spaces on locally finite trees
Alessandro Ottazzi, Federico Santagati
We define the harmonic Bergman space on locally finite trees with respect to a suitable probabilistic Laplacian and a class of weighted flow measures. We characterise the correspon…
Carleson measures on locally finite trees
Alessandro Ottazzi, Federico Santagati
We provide a characterization of Carleson measures on locally finite trees. This characterization establishes the connection between Carleson measures and the boundedness of a suit…
weights on nonhomogeneous trees equipped with measures of exponential growth
Alessandro Ottazzi, Federico Santagati, Maria Vallarino
This paper aims to study weights in the context of a class of metric measure spaces with exponential volume growth, namely infinite trees with root at infinity equipped with…
Optimal lifting of Levi-degenerate hypersurfaces and applications to the Cauchy--Szegö projection
Der-Chen Chang, Ji Li, Alessandro Ottazzi +1
We consider a family of Levi-degenerate finite type hypersurfaces in , where in general there is no group structure. We lift these domains to stratified Lie groups via…