Absolutely Continuous Functions with Values in a Metric Space
Jakub Duda
Source: Real Anal. Exchange Volume 32, Number 2
(2006), 569-582.
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.
First Page:
Show
Hide
Keywords: Absolutely continuous function with values in a metric
space; metric differentials; Banach-Zarecki Theorem; Vallée Poussin Theorem
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.rae/1199377494
Mathematical Reviews number (MathSciNet): MR2369866
Zentralblatt MATH identifier: 1131.26006
Real Analysis Exchange
