Absolute convergence of double Walsh–Fourier series and related results

We consider the double Walsh orthonormal system on the unit square , where { w m ( x )} is the ordinary Walsh system on the unit interval in the Paley enumeration. Our aim is to give sufficient conditions for the absolute convergence of the double Walsh–Fourier series of a function for some 1< p...

Full description

Bibliographic Details

Published in:	Acta mathematica Hungarica Vol. 131; no. 1-2; pp. 122 - 137
Main Authors:	Móricz, Ferenc, Veres, Antal
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.04.2011
Subjects:	Mathematics Mathematics and Statistics 42C10 dyadic modulus of continuity double Walsh–Fourier series 26A16 dyadic functions of modulus of continuity 26A15 bounded fluctuation absolute convergence dyadic Lipschitz classes of functions in two variables
ISSN:	0236-5294, 1588-2632
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!