Absolutely Continuous Functions with Values in a Metric Space

Jakub Duda

doi:rae/1199377494

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Home > Journals > Real Anal. Exchange > Volume 32 > Issue 2 > Article

2006/2007 Absolutely Continuous Functions with Values in a Metric Space

Jakub Duda

Real Anal. Exchange 32(2): 569-582 (2006/2007).

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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 Vallée Poussin theorems.