On functions of bounded variation

Christoph Aistleitner; Florian Pausinger; Anne Marie Svane; Robert Tichy

doi:10.1017/S0305004116000633

On functions of bounded variation

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

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

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.

Originalsprache	englisch
Seiten (von - bis)	405-418
Fachzeitschrift	Mathematical Proceedings of the Cambridge Philosophical Society
Jahrgang	162
Ausgabenummer	3
DOIs	https://doi.org/10.1017/S0305004116000633
Publikationsstatus	Veröffentlicht - 2017

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Information, Communication & Computing

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Theoretical

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10.1017/S0305004116000633

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On functions of bounded variation

Abstract

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