Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Almost Everywhere Convergence of (đ¶, α )-Means of Quadratical Partial Sums of Double Vilenkin–Fourier Series

Almost Everywhere Convergence of (đ¶, α )-Means of Quadratical Partial Sums of Double... We prove that the maximal operator of the (𝐶, α )-means of quadratical partial sums of double Vilenkin–Fourier series is of weak type (1,1). Moreover, the (𝐶, α )-means of a function 𝑓 ∈ 𝐿 1 converge a.e. to 𝑓 as 𝑛 → ∞. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Almost Everywhere Convergence of (đ¶, α )-Means of Quadratical Partial Sums of Double Vilenkin–Fourier Series

Download PDF
16 pages

Loading next page...
 
/lp/de-gruyter/almost-everywhere-convergence-of-means-of-quadratical-partial-sums-of-F4F0tnn3SR

References (17)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2006.447
Publisher site
See Article on Publisher Site

Abstract

We prove that the maximal operator of the (𝐶, α )-means of quadratical partial sums of double Vilenkin–Fourier series is of weak type (1,1). Moreover, the (𝐶, α )-means of a function 𝑓 ∈ 𝐿 1 converge a.e. to 𝑓 as 𝑛 → ∞.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Sep 1, 2006

Keywords: CesĂĄro means; Vilenkin system; a.e. convergence

There are no references for this article.