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arXiv:math/0512340 [math.CA]AbstractReferencesReviewsResources

Absolutely continuous functions with values in metric spaces

Jakub Duda

Published 2005-12-14Version 1

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.

Comments: 9 pages
Categories: math.CA, math.MG
Subjects: 26A46, 26E20
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