The maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series-Reference-Cited by-同舟云学术

The maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series

Published:2008-09-01 Issue:3 Volume:45 Page:321-331
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
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Author:

Blahota István¹,Goginava Ushangi²

Affiliation:

1. 1 College of Nyíregyháza Institute of Mathematics and Computer Science P.O. Box 166 H-4400 Nyíregyháza Hungary

2. 2 Tbilisi State University Department of Mechanics and Mathematics Chavchavadze str. 1 Tbilisi 0128 Georgia

Abstract

In this paper we prove that the maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series is not bounded from the Hardy spaceH2/3(G2) to the spaceL2/3(G2).

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.2008.1053

Reference18 articles.

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2. Pointwise convergence of double Vilenkin-Fejér means;Blahota I.;Studia Scientiarum Mathematicarum Hungarica,2008

3. The fundamental theorem of two-parameter pointwise derivative of Vilenkin groups;Gát G.;Anal. Math.,1999

4. Convergence of Marcinkiewicz means of integrable functions with respect to two-dimensional Vilenkin system;Gát G.;Georg. Math. J.,2004

5. Cesàro means of Vilenkin-Fourier series;Simon P.;Publ. Math. Debrecen.,2001

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