Almost everywhere summability of two-dimensional walsh-fourier series

Ushangi Goginava

doi:10.1007/s11117-022-00925-x

Almost everywhere summability of two-dimensional walsh-fourier series

Ushangi Goginava

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

1 Citation (Scopus)

Abstract

It is proved that the maximal operators of subsequences of Cesàro means with varying parameters of two-dimensional Walsh-Fourier series is bounded from the dyadic Hardy spaces H_p(I) to L_p(I). This implies an almost everywhere convergence for the subsequences of the summability means.

Original language	English
Article number	63
Journal	Positivity
Volume	26
Issue number	4
DOIs	https://doi.org/10.1007/s11117-022-00925-x
Publication status	Published - Sept 2022

Keywords

Almost everywhere summability
Boundedness of maximal operators
Cesàro means
Hardy spaces
Walsh systems

ASJC Scopus subject areas

Analysis
Theoretical Computer Science
General Mathematics

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10.1007/s11117-022-00925-x

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title = "Almost everywhere summability of two-dimensional walsh-fourier series",

abstract = "It is proved that the maximal operators of subsequences of Ces{\`a}ro means with varying parameters of two-dimensional Walsh-Fourier series is bounded from the dyadic Hardy spaces Hp(I) to Lp(I). This implies an almost everywhere convergence for the subsequences of the summability means.",

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

author = "Ushangi Goginava",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

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AB - It is proved that the maximal operators of subsequences of Cesàro means with varying parameters of two-dimensional Walsh-Fourier series is bounded from the dyadic Hardy spaces Hp(I) to Lp(I). This implies an almost everywhere convergence for the subsequences of the summability means.

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KW - Boundedness of maximal operators

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KW - Hardy spaces

KW - Walsh systems

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Almost everywhere summability of two-dimensional walsh-fourier series

Abstract

Keywords

ASJC Scopus subject areas

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