Published Paper

Inserted: 2 jun 2023
Last Updated: 28 oct 2023

Journal: Ann. Sc. Norm. Super. Pisa Cl. Sci.
Year: 2023
Doi: 10.2422/2036-2145.202307_003

Abstract:

We study maps of bounded variation defined on a metric measure space and valued into a metric space. Assuming the source space to satisfy a doubling and Poincar\'e property, we produce a well-behaved relaxation theory via approximation by simple maps. Moreover, several equivalent characterizations are given, including a notion in weak duality with test plans.