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Maximal Operators of Vilenkin–Nörlund Means

Persson, Lars-Erik (author)
Luleå tekniska universitet,Matematiska vetenskaper
Tephnadze, George (author)
Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University
Wall, Peter (author)
Luleå tekniska universitet,Matematiska vetenskaper
 (creator_code:org_t)
2014-10-15
2015
English.
In: Journal of Fourier Analysis and Applications. - : Springer Science and Business Media LLC. - 1069-5869 .- 1531-5851. ; 2:1, s. 76-94
  • Journal article (peer-reviewed)
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

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