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arXiv:1803.07545 [math.FA]AbstractReferencesReviewsResources

A compactness result for BV functions in metric spaces

Sebastiano Don, Davide Vittone

Published 2018-03-20Version 1

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.

Categories: math.FA, math.MG
Subjects: 46E35, 26B30, 26D10, 53C17
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