Extensions of BV compactness criteria
Functional Analysis
2023-03-27 v1
Abstract
Helly's selection theorem provides a criterion for compactness of sets of single-variable functions with bounded pointwise variation. Fra{\v{n}}kov{\'a} has given a proper extension of Helly's theorem to the setting of single-variable regulated functions. We show how a similar approach yields extensions of the standard compactness criterion for multi-variable functions of bounded variation.
Keywords
Cite
@article{arxiv.2303.13629,
title = {Extensions of BV compactness criteria},
author = {Helge Kristian Jenssen},
journal= {arXiv preprint arXiv:2303.13629},
year = {2023}
}