Strong Convergence of Two-Dimensional Walsh–Fourier Series

We prove that certain means of quadratic partial sums of the two-dimensional Walsh–Fourier series are uniformly bounded operators acting from the Hardy space Hp to the space Lp for 0 < p < 1.

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Bibliographic Details
Date:2013
Main Author: Tephnadze, G.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165573
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Strong Convergence of Two-Dimensional Walsh–Fourier Series / G. Tephnadze // Український математичний журнал. — 2013. — Т. 65, № 6. — С. 822–834. — Бібліогр.: 16 назв. — рос.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine