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.

引用

页码：79 / 90

页数：12