Maximal operators of Fejér means of Walsh-Kaczmarz-Fourier series
type: Item
instance of: scholarly article
title: Maximal operators of Fejér means of Walsh-Kaczmarz-Fourier series
zbMATH Open document ID: 1194.42034
DOI: 10.1155/2010/638327
author: Károly Nagy
author: Ushangi Goginava
published in: Journal of Function Spaces and Applications
publication date: 2010-08-30T00:00:00Z
review text: Summary: The main aim of this paper is to prove that there exists a martingale \(f \in H_{1/2}\) such that the maximal Fejér operator with respect to Walsh- Kaczmarz system does not belong to the space \(L_{1/2 }\). For the two-dimensional case, we prove that there exists a martingale \(f \in H_{1/2}^{\square} (f \in H_{1/2})\) such that the restricted (unrestricted) maximal operator of Fejér means of two-dimensional Walsh-Kaczmarz-Fourier series does not belong to the space weak-\(L_{1/2}\).
Mathematics Subject Classification ID: 42C10
zbMATH DE Number: 5776299
zbMATH Keywords: Walsh Kaczmarz system
zbMATH Keywords: Hardy space
zbMATH Keywords: Fejér means
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2010/638327
OpenAlex ID: W2050945229
description: scientific article; zbMATH DE number 5776299