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On functions of bounded p-variation
Karlstad University, Faculty of Technology and Science, Department of Mathematics.ORCID iD: 0000-0001-5459-0796
Karlstad University, Faculty of Technology and Science, Department of Mathematics. (matematik)ORCID iD: 0000-0002-1752-1211
2009 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 356, no 2, 582-604 p.Article in journal (Refereed) Published
Abstract [en]

We obtain estimates of the total p-variation (1<p<∞) and other related functionals for a periodic function fLp[0,1] in terms of its Lp-modulus of continuity ωp(f;δ). These estimates are sharp for any rate of the decay of ωp(f;δ). Moreover, the constant coefficients in them depend on parameters in an optimal way.

Place, publisher, year, edition, pages
2009. Vol. 356, no 2, 582-604 p.
Keyword [en]
Functions of bounded p-variation, Moduli of continuity, Optimal constant factors, Function spaces
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-9107DOI: 10.1016/j.jmaa.2009.03.042OAI: oai:DiVA.org:kau-9107DiVA: diva2:474709
Available from: 2012-01-09 Created: 2012-01-09 Last updated: 2016-04-08Bibliographically approved

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