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Maximal Operators o...
Maximal Operators of Vilenkin–Nörlund Means
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- Persson, Lars-Erik (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Tephnadze, George (author)
- Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University
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- Wall, Peter (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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(creator_code:org_t)
- 2014-10-15
- 2015
- English.
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In: Journal of Fourier Analysis and Applications. - : Springer Science and Business Media LLC. - 1069-5869 .- 1531-5851. ; 2:1, s. 76-94
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Abstract
Subject headings
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- 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
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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