Pointwise convergence of Marcinkiewicz-Fejér means of double Vilenkin-Fourier series

DOI10.3103/S1068362317050041zbMath1386.42018arXiv1609.01642MaRDI QIDQ680075

Ushangi Goginava

Publication date: 22 January 2018

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01642

zbMATH Keywords

Lebesgue pointVilenkin functionMarcinkiewicz-Fejér meanpointwise summability

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

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• Almost everywhere strong summability of Marcinkiewicz means of double Walsh-Fourier series
• Walsh-Lebesgue points of multi-dimensional functions
• Almost everywhere convergence of \((C,\alpha)\)-means of cubical partial sums of \(d\)-dimensional Walsh--Fourier series
• Pointwise convergence of Marcinkiewicz-Fejér means of two-dimensional Walsh-Fourier series
• Pointwise summability of Vilenkin--Fourier series
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• The weak type inequality for the Walsh system
• Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
• A GENERALIZATION OF A THEOREM OF MARCINKIEWICZ
• CESARO SUMMABILITY OF WALSH-FOURIER SERIES

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