Decomposition theorem into indecomposable sets of finite perimeter plus characterization of extreme BV points, both requiring isotropicity, in doubling metric measure spaces with weak (1,1)-Poincaré inequality.
Ambrosio , Some Fine Properties of Sets of Finite Perimeter in Ahlfors R egular Metric Measure Spaces , Advances in Mathematics, 159 (2001), pp
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Indecomposable sets of finite perimeter in doubling metric measure spaces
Decomposition theorem into indecomposable sets of finite perimeter plus characterization of extreme BV points, both requiring isotropicity, in doubling metric measure spaces with weak (1,1)-Poincaré inequality.