Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Fourier series

DOI10.1016/j.jmaa.2005.10.056zbMath1103.42016OpenAlexW1989088409MaRDI QIDQ852768

György Gát, Ushangi Goginava, G. E. Tkebuchava

Publication date: 15 November 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.10.056

zbMATH Keywords

Orlicz spacedouble Walsh-Fourier seriesconvergence in measure

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) Function spaces arising in harmonic analysis (42B35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (16)

Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Fourier series ⋮ Strong convergence of two-dimensional Walsh-Fourier series ⋮ Some properties of the Walsh-Nörlund means ⋮ Some new weak (\(H_p\)-\(L_p\))-type inequality for weighted maximal operators of partial sums of Walsh-Fourier series ⋮ Two-dimensional martingale transforms and their applications in summability of Walsh-Fourier series ⋮ Some new \((H_p -L_p)\) type inequalities for weighted maximal operators of partial sums of Walsh-Fourier series ⋮ Almost everywhere strong summability of double Walsh-Fourier series ⋮ Maximal operators of Walsh-Nörlund means on the dyadic Hardy spaces ⋮ Convergence in measure of logarithmic means of multiple Fourier series ⋮ Convergence in measure of strong logarithmic means of double Fourier series ⋮ Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Kaczmarz-Fourier series ⋮ BMO-estimation and almost everywhere exponential summability of quadratic partial sums of double Fourier series ⋮ Triangular Fejér summability of two-dimensional Walsh-Fourier series ⋮ Strong convergence of two-dimensional Vilenkin-Fourier series ⋮ Convergence of a subsequence of triangular partial sums of double Walsh-Fourier series ⋮ Convergence in measure of Fejér means of two parameter conjugate Walsh transforms

Cites Work

• Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Fourier series
• The Fourier-Walsh subsequence of partial sums
• Cesaro Summability of Double Walsh-Fourier Series
• On the divergence of the $(C,1)$ means of double Walsh-Fourier series
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