Almost everywhere strong summability of two-dimensional Walsh-Fourier series

zbMATH Open1363.42048arXiv1503.02202MaRDI QIDQ2834241

U. Goginava

Publication date: 25 November 2016

Published in: Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series (Search for Journal in Brave)

Abstract: It is proved a BMO-estimation for quadratic partial sums of two-dimensional Walsh-Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Walsh-Fourier series.

Full work available at URL: https://arxiv.org/abs/1503.02202

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)

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