Absolutely continuous functions with values in metric spaces
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🧮 math.CA
math.MG
keywords
metricabsolutelycontinuousspacesvaluesanaloguesbanach-zareckiderivatives
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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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