Strong convergence theorem for Vilenkin-Fejér means
, 2014 As main result we prove strong convergence theorems of Vilenkin- Fejér means when 0 < p ≤ 1/2.
Blahota, István,, Tephnadze, George,
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On the divergence of N\"{o}rlund logarithmic means with respect to the $L^{1}$ norm on some unbounded Vilenkin groups [PDF]
, 2014 Using the results of the paper (1) we give a divergence result of N\"{o}rlund logarithmic means for some unbounded Vilenkin ...
Memić, Nacima
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Some inequalities for Cesàro means of double Vilenkin-Fourier series. [PDF]
J Inequal Appl, 2018 Tepnadze T, Persson LE.
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A note on maximal operators of Vilenkin-Nörlund means
, 2016 In this paper we prove and discuss some new (Hp, Lp)-type inequalities of weighted maximal operators of Vilenkin – N¨orlund means with non-increasing coefficients. These results are the best possible in a special sense.
Blahota, István, Tephnadze, Giorgi
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Bilinear Calderón-Zygmund operators on Vilenkin groups
In this article, we study bilinear Calderón--Zygmund operators on a Vilenkin group $G$. As a preliminary step, we establish a Grafakos--Torres-type endpoint weak-type result in our setting. Furthermore, we prove that such operators extend to bounded bilinear mappings from $L^{p_1}(G)\times L^{p_2}(G)$ into $L^p(G)$ under the natural condition $\frac{1}{
Wani, Adil Shafi +2 more
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Necessary and Sufficient Condition for an Orthogonal Scaling Function on Vilenkin Groups
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2019 In previous works of this author it was proved that every \(N\)-valid tree generates a scaling step function on Vilenkin groups, and an algorithm for constructing this function was indicated. In the article under review, the author proves that using this algorithm one can get any scaling step function.
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Littlewood-Paley and Multiplier Theorems for Vilenkin-Fourier Series
, 1994 Let S2jf be the 2j-th partial sum of the Vilenkin-Fourier series of f ∊ L1, and set S2-1f = 0. For , we show that the ratiois contained between two bounds (independent of f) .
Wo-Sang Young
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Vilenkin–Lebesgue points and summations of bounded multi-dimensional Vilenkin–Fourier series
In 2017, Weisz introduced the concept of $$\omega $$ ω
Máté Szilveszter +2 more
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Gravitational Lensing from a Spacetime Perspective. [PDF]
Living Rev Relativ, 2004 Perlick V.
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Group theory and biomolecular conformation: I. Mathematical and computational models. [PDF]
J Phys Condens Matter, 2010 Chirikjian GS.
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