A sharp boundedness result for restricted maximal operators of Vilenkin–Fourier series on martingale Hardy spaces
2019 (Estonian)In: Georgian Mathematical Journal, ISSN 1072-947X, E-ISSN 1572-9176, Vol. 26, no 3Article in journal (Refereed) Published
Abstract [en]
The restricted maximal operators of partial sums with respect to bounded Vilenkin systems are investigated. We derive the maximal subspace of positive numbers, for which this operator is bounded from the Hardy space H p {H-{p}} to the Lebesgue space L p {L-{p}} for all 0 < p ≤ 1 {0<p\leq 1}. We also prove that the result is sharp in a particular sense.
Place, publisher, year, edition, pages
Walter de Gruyter, 2019. Vol. 26, no 3
Keywords [en]
Vilenkin system, partial sums, maximal operator, Vilenkin–Fourier series, martingale Hardy space
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-71225DOI: 10.1515/gmj-2018-0045ISI: 000489300400004Scopus ID: 2-s2.0-85054401244OAI: oai:DiVA.org:ltu-71225DiVA, id: diva2:1256374
Note
Validerad;2019;Nivå 2;2019-10-09 (johcin)
2018-10-162018-10-162020-08-26Bibliographically approved