ABSOLUTELY CONTINUOUS FUNCTIONS WITH VALUES IN A METRIC SPACE

被引：0

作者：

Duda, Jakub ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Sokolovska 83, Prague 18675 8, Czech Republic

来源：

REAL ANALYSIS EXCHANGE | 2006年 / 32卷 / 02期

基金：

以色列科学基金会;

关键词：

Absolutely continuous function with values in a metric space; metric differentials; Banach-Zarecki Theorem; Vallee Poussin Theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：569 / 581

页数：13

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