We prove a compactness result for bounded sequences (u_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–Carathéodory spaces.
A compactness result for BV functions in metric spaces
Don, Sebastiano;Vittone, Davide
2019
Abstract
We prove a compactness result for bounded sequences (u_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–Carathéodory spaces.
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