On functions of bounded variation

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The recently introduced concept of -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 -variation. Moreover, we show that the space of functions of bounded -variation can be turned into a commutative Banach algebra.
Original languageEnglish
Pages (from-to)405-418
JournalMathematical Proceedings of the Cambridge Philosophical Society
Issue number3
Publication statusPublished - 2017

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Theoretical


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