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Strong convergence of two-dimensional Vilenkin-Fourier series
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2016 (English)In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 289, no 4, p. 485-500Article in journal (Refereed) Published
Abstract [en]

We prove that certain means of the quadratical partial sums of the two-dimensional Vilenkin-Fourier series are uniformly bounded operators from the Hardy space inline image to the space inline image for inline image We also prove that the sequence in the denominator cannot be improved.

Place, publisher, year, edition, pages
2016. Vol. 289, no 4, p. 485-500
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-6350DOI: 10.1002/mana.201400239Local ID: 495bc3c4-39c1-4dbe-ac81-7343225708ffOAI: oai:DiVA.org:ltu-6350DiVA: diva2:979227
Note
Validerad; 2016; Nivå 2; 20150915 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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