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Two-sided Estimates of the Lebesgue Constants with respect to Vilenkin Systems and Applications
Institute of Mathematics and Computer Sciences, University of Nyìıregyhàza.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Number of Authors: 3
2017 (English)In: Glasgow Mathematical Journal, ISSN 0017-0895, E-ISSN 1469-509XArticle in journal (Refereed) Epub ahead of print
Abstract [en]

In this paper, we derive two-sided estimates of the Lebesgue constants for bounded Vilenkin systems, we also present some applications of importance, e.g., we obtain a characterization for the boundedness of a subsequence of partial sums with respect to Vilenkin–Fourier series of H1 martingales in terms of n's variation. The conditions given in this paper are in a sense necessary and sufficient.

Place, publisher, year, edition, pages
2017.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-62539DOI: 10.1017/S0017089516000549OAI: oai:DiVA.org:ltu-62539DiVA: diva2:1082488
Available from: 2017-03-16 Created: 2017-03-16 Last updated: 2017-03-16

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CiteExportLink to record
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  • apa
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