On the restricted summability of two-dimensional Walsh-Fejér means
type: Item
instance of: scholarly article
zbMATH Open document ID: 1340.42068
DOI: 10.5486/PMD.2014.5827
published in: Publicationes Mathematicae Debrecen
publication date: 2014-08-14T00:00:00Z
Mathematics Subject Classification ID: 42C10
zbMATH DE Number: 6330574
zbMATH Keywords: Walsh system
zbMATH Keywords: maximal operator
zbMATH Keywords: two-dimensional system
zbMATH Keywords: Fejér means
zbMATH Keywords: restricted summability
zbMATH Keywords: a.e. convergence
author: Károly Nagy
MaRDI profile type: Publication
full work available at URL: pmd.2014.5827
OpenAlex ID: W2326870994
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title: On the restricted summability of two-dimensional Walsh-Fejér means
review text: The main result is a complement to \textit{F. Weisz}' theorem [Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 35, 305--317 (2011; Zbl 1240.42139)]. Namely, it is proved that the maximal operator of the \((C,1)\) means of two-dimensional Vilenkin-Fourier series is not bounded from \(H_{1/2}^{\alpha}\) to the space \(L_{1/2},\) provided that \(\alpha\) is a cone-like restriction function.
reviewed by: Alexei Lukashov
description: scientific article; zbMATH DE number 6330574