Acta Mathematica Hungarica
Volume/Issue:
Volume 115: Issue 4
Maximal operators of Fejér means of double Walsh-Fourier series
Author:
U. Goginava Tbilisi State University Department of Mechanics and Mathematics Chavchavadze str. 1 Tbilisi 0128 Georgia Chavchavadze str. 1 Tbilisi 0128 Georgia

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Pages:
333–340
Online Publication Date:
17 Feb 2007
Publication Date:
01 Jun 2007
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-007-5268-6
Keywords:
Walsh function; Hardy space; maximal operator; 42C10
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Abstract  

The main aim of this paper is to prove that the maximal operator
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\sigma _0^* : = \mathop {\sup }\limits_n \left| {\sigma _{n,n} } \right|$$ \end{document}
of the Fejr mean of the double Walsh-Fourier series is not bounded from the Hardy space H1/2 to the space weak-L1/2.
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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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