3 papers
math.FA2026
On the equivalence of BV notions in metric measure spaces
Luigi Ambrosio, Enrico Pasqualetto, Nageswari Shanmugalingam
The aim of the paper is to compare in detail several notions of space of functions of bounded variation in metric measure spaces . Informall…
math.FA2025
Metric Sobolev spaces II: dual energies and divergence measures
Luigi Ambrosio, Toni Ikonen, Danka LuÄiÄ +1
This is the second of two works concerning the Sobolev calculus on metric measure spaces and its applications. In this work, we focus on several approaches to vector calculus in th…
math.FA2024
Metric Sobolev spaces I: equivalence of definitions
Luigi Ambrosio, Toni Ikonen, Danka LuÄiÄ +1
This is the first of two works concerning the Sobolev calculus on metric measure spaces and its applications. In this work, we focus on several notions of metric Sobolev space and…