Results 51 to 60 of about 5,385,866 (129)
On the Nörlund means of Vilenkin-Fourier series [PDF]
, 2015 summary:We prove and discuss some new $( H_{p},L_{p})$-type inequalities of weighted maximal operators of Vilenkin-Nörlund means with non-increasing coefficients $\{q_{k}\colon k\geq 0\} $. These results are the best possible in a special sense.
Blahota, István, +5 more
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Littlewood-Paley and pseudo-differential operators on Herz-type spaces over Vilenkin groups
, 2016 In this paper, we mainly investigate the boundedness of Littlewood-Paley functions and pseudo-differential operators on weighted Herz-type Hardy spaces over locally compact Vilenkin ...
Zhu, Yue
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DIFFERENTIATION ON VILENKIN GROUPS USING A MATRIX
Taiwanese Journal of Mathematics, 2011 Given a Vilenkin group G, a scalar matrix $\Lambda = [\lambda_{ij}]_{i \in \mathbb{N}, j \in \mathbb{N}_0}$, a function $f \in L^1(G)$, and a point $x \in G$ we introduce, for each $\alpha \in \mathbb{R}$, the $(\Lambda,\alpha)$ − derivative $f$ at $x$ denoted by $f^{(\Lambda,\alpha)}(x)$. We also introduce the sets: $$ M_\alpha = M(G,\Lambda,\alpha,x)
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Littlewood--Paley--Rubio de Francia inequality for unbounded Vilenkin systems [PDF]
, 2023 Rubio de Francia proved the one-sided version of Littlewood--Paley inequality for arbitrary intervals. In this paper, we prove the similar inequality in the context of arbitrary Vilenkin systems (that is, for functions on infinite products of cyclic ...
Tselishchev, Anton
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, 2008 It is a highly celebrated issue in dyadic harmonic analysis the pointwise convergence of the Fej?r (or (C, 1)) means of functions on the Walsh and Vilenkin groups both in the point of view of one and two dimensional cases.
György Gát
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Cesàro means of integrable functions with respect to unbounded Vilenkin systems [PDF]
, 2003 One of the most celebrated problems in dyadic harmonic analysis is the pointwise convergence of the Fejér (or (C,1)) means of functions on unbounded Vilenkin groups.
Gát, György
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The l2-order of magnitude of vilenkin-fourier coefficients [PDF]
, 1996 Let G be a compact, metrizable, zero-dimensional, abelian gruop, i.e ., a Vilenkin group. It is well known ([2], [6] for example) that if f belongs to the Lipschitz class Lip (∝, p, G), 0 ≤ ∝ ≤ 1, 1 and lt; p ≤ 2, then its Fourier transform f belongs
Younis, Mohammed S.
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A Note on H1 Multipliers for Locally Compact Vilenkin Groups
, 1998 Kitada and then Onneweer and Quek have investigated multiplier operators on Hardy spaces over locally compact Vilenkin groups. In this note, we provide an improvement to their results for the Hardy space H1 and provide examples showing that our result ...
Keith L. Phillips, James E. Daly
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Generalized absolute convergence of single and double Vilenkin-Fourier series and related results [PDF]
summary:We consider the Vilenkin orthonormal system on a Vilenkin group $G$ and the Vilenkin-Fourier coefficients $\hat {f}(n)$, $n\in \mathbb {N}$, of functions $f\in L^p(G)$ for some ...
Kalsariya, Nayna Govindbhai +1 more
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Vanishing of dimensions and nonexistence of spectral triples on compact Vilenkin groups
We compute the spectral dimension, the dimension of a symmetric random walk, and the Gelfand-Kirillov dimension for compact Vilenkin groups. As a result, we show that these dimensions are zero for any compact, totally disconnected, metrizable topological
Biswas, Surajit, Saurabh, Bipul
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