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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

On the a.e. convergence of Walsh-Kaczmarz-Fourier series


Author: Wo Sang Young
Journal: Proc. Amer. Math. Soc. 44 (1974), 353-358
MSC: Primary 42A56
MathSciNet review: 0350310
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Abstract: It is shown that partial sums of Walsh-Kaczmarz-Fourier series of functions in the Orlicz class $ L{({\log ^ + }L)^2}$ converge a.e. The proof utilizes an estimate of P. Sjölin on the partial sums of the usual Walsh-Fourier series.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0350310-6
PII: S 0002-9939(1974)0350310-6
Keywords: Walsh-Kaczmarz-Fourier series, Walsh-Fourier series, a.e. convergence, Orlicz space
Article copyright: © Copyright 1974 American Mathematical Society