A remark on an integral characterization of the dual of BV

Nicola Fusco, Daniel Spector*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In this paper, we show how under the continuum hypothesis one can obtain an integral representation for elements of the topological dual of the space of functions of bounded variation in terms of Lebesgue and Kolmogorov–Burkill integrals.

Original languageEnglish
Pages (from-to)1370-1375
Number of pages6
JournalJournal of Mathematical Analysis and Applications
Volume457
Issue number2
DOIs
Publication statusPublished - 2018 Jan 15
Externally publishedYes

Keywords

  • Bounded variation
  • Dual space
  • Integral representation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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