Absolutely continuous functions on compact and connected 1-dimensional metric spaces
نویسندگان
چکیده
منابع مشابه
Absolutely Continuous Functions with Values in Metric Spaces
(see e.g. [1, Lemma 1.1]), we could without any loss of generality work with Banach spaces only. The main obstacle in dealing with metric spaces (or arbitrary Banach spaces) is the absence of the Radon-Nikodým property and the resulting non-existence of derivatives. Thus, instead of the “usual” derivative, we have to employ the notion of a “metric derivative” (which was introduced by Kirchheim ...
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2019
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2019.4412