Absolutely continuous functions with values in metric spaces

Details Absolutely continuous functions with values in metric spaces Absolutely continuous functions with values in metric spaces

2005-12-14

arxiv.org/abs/math/0512340v1

Mathematics

Classical Analysis and ODEs

9 pages

Scientific paper

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.

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