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- Persson, Lars-ErikLuleå tekniska universitet,Matematiska vetenskaper (author)
Maximal Operators of Vilenkin–Nörlund Means
- Article/chapterEnglish2015
Publisher, publication year, extent ...
- 2014-10-15
- Springer Science and Business Media LLC,2015
- printrdacarrier
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- LIBRIS-ID:oai:DiVA.org:ltu-8760
- https://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-8760URI
- https://doi.org/10.1007/s00041-014-9345-2DOI
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- Language:English
- Summary in:English
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- Validerad; 2015; Nivå 2; 20141015 (andbra)
- In this paper we prove and discuss some new (H p ,weak−L p ) type inequalities of maximal operators of Vilenkin–Nörlund means with monotone coefficients. We also apply these results to prove a.e. convergence of such Vilenkin–Nörlund means. It is also proved that these results are the best possible in a special sense. As applications, both some well-known and new results are pointed out.
Subject headings and genre
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- Matematik
- Mathematics
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- Tephnadze, GeorgeDepartment of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University(Swepub:ltu)geotep (author)
- Wall, PeterLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)wall (author)
- Luleå tekniska universitetMatematiska vetenskaper (creator_code:org_t)
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- In:Journal of Fourier Analysis and Applications: Springer Science and Business Media LLC2:1, s. 76-941069-58691531-5851
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