Results 1 to 10 of about 106 (96)

Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means

Journal of Inequalities and Applications, 2023
We prove and discuss some new weak type ( 1 , 1 ) $(1,1 ) $ inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means.
Davit Baramidze, Nato Nadirashvili, Lars-Erik Persson, George Tephnadze   +3 more
exaly   +2 more sources

Fourier transforms of Dini-Lipschitz functions on Vilenkin groups [PDF]

International Journal of Mathematics and Mathematical Sciences, 1992
In [4] we proved some theorems on the Fourier Transforms of functions satisfying conditions related to the Dini-Lipschitz conditions on the n-dimensional Euclidean space Rn and the torus group Tn. In this paper we extend those theorems for functions with
M. S. Younis
doaj   +2 more sources

The boundedness of commutators on locally compact Vilenkin groups [PDF]

Journal of Function Spaces and Applications, 2005
Let G be a locally compact Vilenkin group. In this paper, the authors investigate the boundedness of commutators of singluar integral operator on Triebel-Lizorkin spaces on G. Furthermore, the boundedness on the Herz-type Triebel-Lizorkin spaces are also
Canqin Tang, Qingguo Li, Bolin Ma
doaj   +2 more sources

Uncertainty product for Vilenkin groups [PDF]

International Journal of Wavelets, Multiresolution and Information Processing, 2018
We study a localization of functions defined on Vilenkin groups. To measure the localization, we introduce two uncertainty products [Formula: see text] and [Formula: see text] that are similar to the Heisenberg uncertainty product. [Formula: see text] and [Formula: see text] differ from each other by the metric used for the Vilenkin group [Formula ...
Ivan Kovalyov, Elena A. Lebedeva
openaire   +3 more sources

Wavelet frames on Vilenkin groups and their approximation properties [PDF]

International Journal of Wavelets, Multiresolution and Information Processing, 2015
An explicit description of all Walsh polynomials generating tight wavelet frames is given. An algorithm for finding the corresponding wavelet functions is suggested, and a general form for all wavelet frames generated by an appropriate Walsh polynomial is described. Approximation properties of tight wavelet frames are also studied.
Yu. A. Farkov, Elena A. Lebedeva, Maria Skopina   +2 more
openaire   +6 more sources

Generalized absolute convergence of single and double Vilenkin-Fourier series and related results [PDF]

Mathematica Bohemica
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 $1<p\le2$.
Nayna Govindbhai Kalsariya, Bhikha Lila Ghodadra   +1 more
doaj   +1 more source

N-Valid trees in wavelet theory on Vilenkin groups [PDF]

International Journal of Wavelets, Multiresolution and Information Processing, 2015
We consider a class of (N, M)-elementary step functions on the p-adic Vilenkin group. We prove that (N, M)-elementary step function generates a MRA on p-adic Vilenkin group if and only if it is generated by a special N-valid rooted tree on the set of vertices {0,1,…p - 1} with the vector (0,…,0) ∈ ℤN as a root.
Sergei Feodorovich Lukomskii, G. S. Berdnikov   +1 more
openaire   +3 more sources

Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications

Journal of Inequalities and Applications, 2016
We prove and discuss some new H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means with monotone coefficients. It is also proved that these inequalities are the best possible in a special sense.
Lasha Baramidze, Lars-Erik Persson, George Tephnadze, Peter Wall   +3 more
doaj   +1 more source

An Integrability Theorem on Unbounded Vilenkin Groups

Journal of Mathematical Analysis and Applications, 1993
Let \(G\) be a locally compact Vilenkin group, that is, \(G\) is an infinite compact metrizable zero-dimensional abelian group and let \(\Gamma=(\chi_ n)_ 0^ \infty\) denote the character group of \(G\). Let \((m_ n)_ 0^ \infty\) be the usual sequence of integers determined by the structure of \(G\) and let \(p_ n=m_{m+1}/m_ n\).
Avdispahic, M., Pepic, M.
openaire   +1 more source

Summation Methods and Uniqueness in Vilenkin Groups [PDF]

Proceedings of the American Mathematical Society, 1988
It is shown that the σ \sigma -compact
openaire   +2 more sources