The essential divergence in measure of function sequences and series
type: Item
instance of: scholarly article
title: The essential divergence in measure of function sequences and series
zbMATH Open document ID: 1095.42002
author: M. I. Dyachenko
author: P. Sifuèntes
author: K. S. Kazarian
published in: Moscow University Mathematics Bulletin
publication date: 2004-09-07T00:00:00Z
review text: The authors study divergence with respect to measure of functional sequences on the \(\sigma\)-finite measure space \((X,\Sigma,\nu)\). Besides, it is proved that under certain conditions for the Fourier series, whose cubic partial sums diverge unboundedly with respect to measure, there exists a Fourier series in the same system, whose cubic partial sums diverge essentially with respect to measure on a set of complete measure.
Mathematics Subject Classification ID: 42A20
Mathematics Subject Classification ID: 40A30
Mathematics Subject Classification ID: 42A16
zbMATH DE Number: 2098958
zbMATH Keywords: functional sequences and series
zbMATH Keywords: divergence with respect to measure
zbMATH Keywords: Fourier series
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2098958