Absolutely continuous functions with values in metric spaces
Classical Analysis and ODEs
2007-05-23 v1 Metric Geometry
Abstract
We present a general theory of absolutely continuous paths with values in metric spaces using the notion of metric derivatives. Among other results, we prove analogues of the Banach-Zarecki and Vallee Poussin theorems.
Keywords
Cite
@article{arxiv.math/0512340,
title = {Absolutely continuous functions with values in metric spaces},
author = {Jakub Duda},
journal= {arXiv preprint arXiv:math/0512340},
year = {2007}
}
Comments
9 pages