4 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 FÃssler, 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…
Flag Hardy space theory on Heisenberg groups and applications
Peng Chen, Michael G. Cowling, Ming-Yi Lee +2
We establish a complete theory of the flag Hardy space on the Heisenberg group with characterisations via atomic decompositions, area functions, square functions, m…