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Creators/Authors contains: "Durand-Cartagena, Estibalitz"

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  1. ; ; (, Mathematische Annalen)
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  2. ; ; ; (, Advances in Calculus of Variations)
    Abstract We consider two notions of functions of bounded variation in complete metric measure spaces,one due to Martio and the other due to Miranda Jr. We show that these two notionscoincide if the measure is doubling and supports a 1-Poincaré inequality. In doing so, we also prove that if the measure is doubling and supports a 1-Poincaré inequality, then the metric space supports a Semmes family of curves structure. 
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