English

A compactness result for BV functions in metric spaces

Functional Analysis 2018-03-22 v2 Metric Geometry

Abstract

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

Keywords

Cite

@article{arxiv.1803.07545,
  title  = {A compactness result for BV functions in metric spaces},
  author = {Sebastiano Don and Davide Vittone},
  journal= {arXiv preprint arXiv:1803.07545},
  year   = {2018}
}
R2 v1 2026-06-23T00:59:13.408Z