Order of magnitude of multiple Fourier coefficients of functions of bounded \(p\)-variation
type: Item
instance of: scholarly article
title: Order of magnitude of multiple Fourier coefficients of functions of bounded \(p\)-variation
zbMATH Open document ID: 1240.42025
published in: Acta Mathematica Hungarica
publication date: 2011-02-25T00:00:00Z
review text: The author defines the bounded \(p\)-variations for a function of several variables in such a way that for \(p=1\) these definitions reduce to the well known variations of Vitali and Hardy. The order of magnitude of the Fourier coefficients of a function of bounded \(p\)-variation depends on \(p\) and generalizes certain previous results, first of all those due to \textit{F. Móricz} [Analysis, München 22, No. ~4, 335--345 (2002; Zbl 1039.42009)] and to \textit{V. Fülöp and F. Móricz} [Acta Math. Hung. 104, No. ~1--2, 95--104 (2004; Zbl 1067.42006)].
reviewed by: Elijah Liflyand
Mathematics Subject Classification ID: 42B05
Mathematics Subject Classification ID: 26B30
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 5857774
zbMATH Keywords: multiple Fourier coefficient
zbMATH Keywords: function of bounded \(p\)-variation in several variables
zbMATH Keywords: order of magnitude
author: Bhikha Lila Ghodadra
MaRDI profile type: Publication
full work available at URL: s10474-010-9202-y
OpenAlex ID: W2080662971
cites work: On Definitions of Bounded Variation for Functions of Two Variables
cites work: Order of magnitude of multiple Fourier coefficients of functions of bounded variation
cites work: Q4802198
DOI: 10.1007/S10474-010-9202-Y
description: scientific article; zbMATH DE number 5857774