Almost everywhere strong summability of double Walsh-Fourier series

DOI10.3103/S106836231501001XzbMath1329.42028arXiv1310.8212MaRDI QIDQ898543

György Gát, Ushangi Goginava

Publication date: 18 December 2015

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/1310.8212

zbMATH Keywords

a. e. convergencestrong Marcinkiewicz meanstwo-dimensional Walsh system

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

• Strong approximation by Marcinkiewicz means of two-dimensional Walsh-Fourier series
• Notes on Fourier series: Strong approximation
• The space BMO and strong means of Fourier series
• Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Fourier series
• Everywhere divergent \(\Phi\)-means of Fourier series
• BMO-strong means of Fourier series
• The weak type inequality for the maximal operator of the Marcinkiewicz-Fejér means of the two-dimensional Walsh-Fourier series
• Summation of multiple Fourier series in multiplicative systems
• On strong summability of polynomial expansions
• Strong approximation via Sidon type inequalities
• On divergence of a subsequence of the partial sums of multiple trigonometric Fourier series
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• THE SPACE BMO AND STRONG MEANS OF FOURIER-WALSH SERIES
• On the uniform strong approximation of Marcinkiewicz type for multivariable continuous functions
• ON STRONG SUMMABILITY ALMOST EVERYWHERE
• On the strong approximation of Fourier series
• Über die Approximation im starken Sinne
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