On functions of bounded variation

Christoph Aistleitner, Florian Pausinger*, Anne Marie Svane, Robert F. Tichy

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Citations (Scopus)
220 Downloads (Pure)

Abstract

The recently introduced concept of D-variation unifies previous concepts of variation of multivariate functions. In this paper, we give an affirmative answer to the open question from [20] whether every function of bounded Hardy-Krause variation is Borel measurable and has bounded D-variation. Moreover, we show that the space of functions of bounded D-variation can be turned into a commutative Banach algebra.

Original languageEnglish
Pages (from-to)405-418
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume162
Issue number3
Early online date26 Jul 2017
DOIs
Publication statusEarly online date - 26 Jul 2017
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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