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Some New (Hp-Lp) Type Inequalities For Weighted Maximal Operators Of Fejer Means Of Walsh-Fourier Series
The University of Georgia, School of science and technology, 77a Merab Kostava Str., Tbilisi 0128, Georgia , Department of Computer Science and Computational Engineering, UiT- The Arctic University of Norway, P.O. Box 385, N-8505, Narvik, Norway.
Department of Computer Science and Computational Engineering, UiT- The Arctic University of Norway, P.O. Box 385, N-8505, Narvik, Norway.
Department of Computer Science and Computational Engineering, UiT- The Arctic University of Norway, P.O. Box 385, N-8505, Narvik, Norway.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013). Department of Computer Science and Computational Engineering, UiT- The Arctic University of Norway, P.O. Box 385, N-8505, Narvik, Norway.ORCID iD: 0000-0002-5914-3247
2026 (English)In: Transactions of A. Razmadze Mathematical Institute, ISSN 2346-8092, Vol. 180, no 1, p. 25-34Article in journal (Refereed) Published
Abstract [en]

In this paper, we introduce some new weighted maximal Fejer mean operators of the Walsh-Fourier series. We prove that for some "optimal" weights, (H-p-L-p) type inequalities hold for these operators when 0 < p < 1/2. We also prove the sharpness of this result. As a consequence, we obtain some new and well-known results.
Place, publisher, year, edition, pages
Tblisi: A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State University, Georgia , 2026. Vol. 180, no 1, p. 25-34
Keywords [en]
Inequalities, Walsh system, Fejer means, Martingale Hardy space, Weighted maximal operators, CONVERGENCE, APPROXIMATION, RESPECT
National Category
Mathematical sciences
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-111405OAI: oai:DiVA.org:kau-111405DiVA, id: diva2:2080979
Available from: 2026-06-29 Created: 2026-06-29 Last updated: 2026-06-29Bibliographically approved

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CiteExportLink to record
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