Two-sided Estimates of the Lebesgue Constants with respect to Vilenkin Systems and Applications
Number of Authors: 3
2017 (English)In: Glasgow Mathematical Journal, ISSN 0017-0895, E-ISSN 1469-509XArticle in journal (Refereed) Epub ahead of print
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
Research subject Mathematics
IdentifiersURN: urn:nbn:se:ltu:diva-62539DOI: 10.1017/S0017089516000549OAI: oai:DiVA.org:ltu-62539DiVA: diva2:1082488