On dyadic integrals and some other integrals associated with local systems
type: Item
instance of: scholarly article
title: On dyadic integrals and some other integrals associated with local systems
zbMATH Open document ID: 1010.26006
DOI: 10.1016/S0022-247X(02)00146-4
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-11-28T00:00:00Z
review text: A full descriptive characterization of the classical one-dimensional Henstock integral in terms of the absolute continuity of the variational measure was given by the same authors in 1995. A similar result is given in this paper for the dyadic path-integral which is a special case of \(S\)-integrals defined by local systems of sets. Some variational properties of \(S\)-integrals and the comparison between the dyadic path-integral and the dyadic Henstock integral are also discussed.
reviewed by: Tuan Seng Chew
Mathematics Subject Classification ID: 26A39
zbMATH DE Number: 1836768
zbMATH Keywords: Henstock integral
zbMATH Keywords: absolute continuity
zbMATH Keywords: variational measure
zbMATH Keywords: dyadic path-integral
zbMATH Keywords: local systems of sets
author: Benedetto Bongiorno
author: Luisa Di Piazza
author: Valentin Skvortsov
MaRDI profile type: Publication
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full work available at URL: s0022-247x(02)00146-4
OpenAlex ID: W1967701749
description: scientific article; zbMATH DE number 1836768