1 citations · 3 across the 7 of their papers we have counts for
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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…
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…
BV and Sobolev homeomorphisms between metric measure spaces and the plane
Camillo Brena, Daniel Campbell
We show that given a homeomorphism where is a open subset of and is a open subset of a -Ahlfors regular metric measure space supporting…