A STRUCTURAL THEOREM FOR METRIC SPACE VALUED MAPPINGS OF Phi-BOUNDED VARIATION

被引：0
|
作者：
Maniscalco, Caterina [1 ]
机构：
[1] Dipartimento Matemat & Applicazioni, Via Archi 34, I-90123 Palermo, Italy
来源：
REAL ANALYSIS EXCHANGE | 2009年 / 35卷 / 01期
关键词：
metric space valued mappings; variation; Phi-bounded variation; structural theorem; extension;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce the notion of Phi-bounded variation for metric space valued mappings defined on a subset of the real line. Such a notion generalizes the one for real functions introduced by M. Schramm, and many previous generalized variations. We prove a structural theorem for mappings of Phi-bounded variation. As an application we show that each mapping of Phi-bounded variation defined on a subset of R possesses a Phi-variation preserving extension to the whole real line.
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页码：79 / 90
页数：12
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