A structural theorem for metric space valued mappings of \(\Phi\)-bounded variation (Q987917)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A structural theorem for metric space valued mappings of \(\Phi\)-bounded variation |
scientific article; zbMATH DE number 5778787
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A structural theorem for metric space valued mappings of \(\Phi\)-bounded variation |
scientific article; zbMATH DE number 5778787 |
Statements
A structural theorem for metric space valued mappings of \(\Phi\)-bounded variation (English)
0 references
2 September 2010
0 references
The author introduces the notion of \(\Phi\)-bounded variation for metric space valued mappings defined on a subset of the real line. This notion generalizes the one for real functions and some previous generalized variations. A structural theorem for mappings of \(\Phi\)-bounded variation is proved and it is shown that each mapping of \(\Phi\)-bounded variation defined on a subset of \(\mathbb R\) possesses a \(\Phi\)-variation preserving extension to the whole real line.
0 references
metric space valued mappings
0 references
variation
0 references
\(\Phi\)-bounded variation
0 references
structural theorem
0 references
extension
0 references
0.8474376201629639
0 references
0.8450056314468384
0 references
0.8446923494338989
0 references
0.8359729051589966
0 references
0.8258321285247803
0 references
