A compactness result for BV functions in metric spaces

created by vittone on 21 Mar 2018

[BibTeX]

preprint

Inserted: 21 mar 2018
Last Updated: 21 mar 2018

Year: 2018

ArXiv: 1803.07545 PDF

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-Carathéodory spaces.