Convergence in measure of strong logarithmic means of double Fourier series

DOI10.3103/S1068362314030017zbMath1312.42015arXiv1303.0394MaRDI QIDQ471338

Ushangi Goginava, L. D. Gogoladze

Publication date: 14 November 2014

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/1303.0394

zbMATH Keywords

double Fourier seriesOrlicz spaceconvergence in measureNörlund strong logarithmic means

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Related Items (2)

Almost everywhere convergence of strong Nörlund logarithmic means of Walsh-Fourier series ⋮ Almost everywhere strong summability of Fejér means of rectangular partial sums of two-dimensional Walsh-Fourier series

Cites Work

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• Divergence in measure of multiple Fourier series
• Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Fourier series
• The weak type inequality for the maximal operator of the Marcinkiewicz-Fejér means of the two-dimensional Walsh-Fourier series
• Uniform and \(L\)-convergence of logarithmic means of Walsh-Fourier series
• Quasi-Tauberian theorems, applied to the summability of Fourier series by Riesz's logarithmic means
• On the Marcinkiewicz-Fejér means of double Fourier series with respect to the Walsh-Kaczmarz system
• On the boundary values of functions of several complex variables, I
• On the logarithmic means of rearranged partial sums of a Fourier series

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