5 citations · 12 across the 19 of their papers we have counts for
6 papers · 1 filter
Sobolev and BV functions on spaces via the short-time behaviour of the heat kernel
Camillo Brena, Enrico Pasqualetto, Andrea Pinamonti
In the setting of finite-dimensional spaces, we characterize the -Sobolev spaces for and the space of functions of bounded variation in term…
Linear Inverse Problems with Hessian-Schatten Total Variation
Luigi Ambrosio, Shayan Aziznejad, Camillo Brena +1
In this paper, we characterize the class of extremal points of the unit ball of the Hessian-Schatten total variation (HTV) functional. The underlying motivation for our work stems…
Subgraphs of functions on spaces
Gioacchino Antonelli, Camillo Brena, Enrico Pasqualetto
In this work we extend classical results for subgraphs of functions of bounded variation in to the setting of , where $\m…
Local vector measures
Camillo Brena, Nicola Gigli
Consider a BV function on a Riemannian manifold. What is its differential? And what about the Hessian of a convex function? These questions have clear answers in terms of (co)vecto…
Calculus and fine properties of functions of bounded variation on RCD spaces
Camillo Brena, Nicola Gigli
We generalize the classical calculus rules satisfied by functions of bounded variation to the framework of RCD spaces. In the infinite dimensional setting we are able to define an…
The Rank-One Theorem on spaces
Gioacchino Antonelli, Camillo Brena, Enrico Pasqualetto
We extend Alberti's Rank-One Theorem to metric measure spaces.