Oscillation and \(\omega\)-primitives
type: Item
instance of: scholarly article
title: Oscillation and \(\omega\)-primitives
zbMATH Open document ID: 1025.26002
author: S. P. Ponomarev
author: Janina Ewert
published in: Real Analysis Exchange
publication date: 2003-01-05T00:00:00Z
review text: The authors investigate topological spaces \(X\) such that for upper semicontinuous functions \(f:X \to [0,\infty)\) (or \(f:X \to [0,\infty ]\)) there are \(\omega \)-primitives \(F:X \to [0,\infty)\) (or \(F:X \to [0,\infty ]\)) whose oscillations equal \(f\) on \(X\). Moreover, convergences of sequences of \(\omega\)-primitives are discussed.
Mathematics Subject Classification ID: 26A15
Mathematics Subject Classification ID: 54C30
zbMATH DE Number: 1848870
zbMATH Keywords: upper semicontinuity
zbMATH Keywords: oscillation
zbMATH Keywords: massive spaces
zbMATH Keywords: quasi-uniform convergence
zbMATH Keywords: \(\omega\)-primitives
reviewed by: Zbigniew Grande
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1848870