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Subgraphs of $\rm BV$ functions on $\rm RCD$ spaces

Subgraphs of $\rm BV$ functions on $\rm RCD$ spaces

Abstract In this work we extend classical results for subgraphs of functions of bounded variation in $\mathbb R^n\times\mathbb R$ to the setting of ${\rm X}\times\mathbb R$, where ${\rm X}$ is an ${\rm RCD}(K,N)$ metric measure space. In particular, we give the precise expression of the push-forward onto ${\rm X}$ of …