We study maps of bounded variation defined on a metric measure space and valued intoa 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 testplans.

Maps of bounded variation from PI spaces to metric spaces

Nobili, Francesco;
2023-01-01

Abstract

We study maps of bounded variation defined on a metric measure space and valued intoa 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 testplans.
2023
Brena, Camillo; Nobili, Francesco; Pasqualetto, Enrico
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1212150
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