| Title: |
On classes of functions generating absolutely continuous variational measures |
| Authors: |
Skvortsov, Valentin; Zherebyov, Yurij |
| Publisher Information: |
Michigan State University Press |
| Publication Year: |
2004 |
| Collection: |
Project Euclid (Cornell University Library) |
| Subject Terms: |
derivation basis; variational measure; $ACG_\delta$ function; absolute continuity; Henstock-Kurzweil integral; 26A39; 26A42; 26A45 |
| Description: |
It is proved that for a wide class of bases in ${\mathbb R}^m$ a function generates a $\sigma$-finite absolutely continuous variational measure if and only if this function belongs to $ACG_\delta$-class. It is also shown that under some additional assumptions on a basis, $\sigma$-finiteness follows from the absolute continuity of the variational measure. |
| Document Type: |
text |
| File Description: |
application/pdf |
| Language: |
English |
| ISSN: |
0147-1937; 1930-1219 |
| Relation: |
http://projecteuclid.org/euclid.rae/1122482143; Real Anal. Exchange 30, no. 1 (2004), 361-372 |
| Availability: |
http://projecteuclid.org/euclid.rae/1122482143 |
| Rights: |
Copyright 2004 Michigan State University Press |
| Accession Number: |
edsbas.C7A61A45 |
| Database: |
BASE |