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arXiv · 1803.07545

A compactness result for BV functions in metric spaces

Sebastiano Don·Davide Vittone
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Abstract

We prove a compactness result for bounded sequences $(u_j)_j$ of functions with bounded variation in metric spaces $(X,d_j)$ where the space $X$ is fixed but the metric may vary with $j$. We also provide an application to Carnot-Carath\'eodory spaces.

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Sebastiano Don, Davide Vittone. 2018-03-20. A compactness result for BV functions in metric spaces. https://arxiv.org/abs/1803.07545

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