Maximal summability operators on the dyadic hardy spaces

Ushangi Goginava; Salem Ben Said

doi:10.2298/FIL2107189G

Maximal summability operators on the dyadic hardy spaces

Ushangi Goginava, Salem Ben Said

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

It is proved that the maximal operators of subsequences of Nörlund logarithmic means and Cesáro means with varying parameters of Walsh-Fourier series is bounded from the dyadic Hardy spaces H_p to L_p. This implies an almost everywhere convergence for the subsequences of the summability means.

Original language	English
Pages (from-to)	2189-2208
Number of pages	20
Journal	Filomat
Volume	35
Issue number	7
DOIs	https://doi.org/10.2298/FIL2107189G
Publication status	Published - 2021

Keywords

Boundedness of maximal operators
Cesàro means
Hardy spaces
Logarithmic means
Walsh systems

ASJC Scopus subject areas

Mathematics(all)

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10.2298/FIL2107189G

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abstract = "It is proved that the maximal operators of subsequences of N{\"o}rlund logarithmic means and Ces{\'a}ro means with varying parameters of Walsh-Fourier series is bounded from the dyadic Hardy spaces Hp to Lp. This implies an almost everywhere convergence for the subsequences of the summability means.",

keywords = "Boundedness of maximal operators, Ces{\`a}ro means, Hardy spaces, Logarithmic means, Walsh systems",

author = "Ushangi Goginava and Said, {Salem Ben}",

note = "Funding Information: Both authors are very thankful to United Arab Emirates University (UAEU) for the Start-up Grant 31S375. The second author is thankful to UAEU for the UPAR grant 12S002. Publisher Copyright: {\textcopyright} 2021, University of Nis. All rights reserved.",

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AU - Goginava, Ushangi

AU - Said, Salem Ben

N1 - Funding Information: Both authors are very thankful to United Arab Emirates University (UAEU) for the Start-up Grant 31S375. The second author is thankful to UAEU for the UPAR grant 12S002. Publisher Copyright: © 2021, University of Nis. All rights reserved.

PY - 2021

Y1 - 2021

N2 - It is proved that the maximal operators of subsequences of Nörlund logarithmic means and Cesáro means with varying parameters of Walsh-Fourier series is bounded from the dyadic Hardy spaces Hp to Lp. This implies an almost everywhere convergence for the subsequences of the summability means.

AB - It is proved that the maximal operators of subsequences of Nörlund logarithmic means and Cesáro means with varying parameters of Walsh-Fourier series is bounded from the dyadic Hardy spaces Hp to Lp. This implies an almost everywhere convergence for the subsequences of the summability means.

KW - Boundedness of maximal operators

KW - Cesàro means

KW - Hardy spaces

KW - Logarithmic means

KW - Walsh systems

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Maximal summability operators on the dyadic hardy spaces

Abstract

Keywords

ASJC Scopus subject areas

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