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Sharp Hp- Lptype inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications
Department of Mathematics, Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
Number of Authors: 4
2016 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, no 1, 242Article in journal (Refereed) Published
Abstract [en]

We prove and discuss some new Hp-Lptype inequalities of weighted maximal operators of Vilenkin-Nörlund means with monotone coefficients. It is also proved that these inequalities are the best possible in a special sense. We also apply these results to prove strong summability for such Vilenkin-Nörlund means. As applications, both some well-known and new results are pointed out

Place, publisher, year, edition, pages
2016. no 1, 242
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-60035DOI: 10.1186/s13660-016-1182-1ISI: 000391727200001Scopus ID: 2-s2.0-84989350634OAI: oai:DiVA.org:ltu-60035DiVA: diva2:1040944
Note

Validerad; 2016; Nivå 2; 2016-10-31 (andbra)

Available from: 2016-10-31 Created: 2016-10-31 Last updated: 2017-11-24Bibliographically approved

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Persson, Lars-ErikTephnadze, GeorgeWall, Peter

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