Matteo Muratori

activity

20162022

most citedNonexistence of radial optimal functions for the Sobolev inequality on Cartan-Hadamard manifolds

1 citations · 1 across the 4 of their papers we have counts for

collaborators

Showing math.FAShow all

2 papers · 1 filter

math.FA2021

On the equivalence of Sobolev norms in Malliavin spaces

Davide Addona, Matteo Muratori, Maurizia Rossi

We investigate the problem of the equivalence of $L^{q}$ -Sobolev norms in Malliavin spaces for $q \in [1, \infty)$ , focusing on the graph norm of the $k$ -th Malliavin derivative operat…

math.FA2018

Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations

Matteo Muratori, Alberto Roncoroni

We investigate the validity, as well as the failure, of Sobolev-type inequalities on Cartan-Hadamard manifolds under suitable bounds on the sectional and the Ricci curvatures. We p…