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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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Інститут математики НАН України
2013
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Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/165573 |
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irk-123456789-1655732020-02-15T01:26:06Z Strong Convergence of Two-Dimensional Walsh–Fourier Series Tephnadze, G. Статті 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. Доведено, що певнi середнi квадратичних часткових сум двовимiрних рядiв Уолша – Фур’є є рiвномiрно обмеженими операторами, що дiють iз простору Хардi Hp у простiр Lp при 0< p <1. 2013 Article Strong Convergence of Two-Dimensional Walsh–Fourier Series / G. Tephnadze // Український математичний журнал. — 2013. — Т. 65, № 6. — С. 822–834. — Бібліогр.: 16 назв. — рос. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/165573 517.5 en Український математичний журнал Інститут математики НАН України |
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English |
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Статті Статті |
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Статті Статті Tephnadze, G. Strong Convergence of Two-Dimensional Walsh–Fourier Series Український математичний журнал |
description |
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. |
format |
Article |
author |
Tephnadze, G. |
author_facet |
Tephnadze, G. |
author_sort |
Tephnadze, G. |
title |
Strong Convergence of Two-Dimensional Walsh–Fourier Series |
title_short |
Strong Convergence of Two-Dimensional Walsh–Fourier Series |
title_full |
Strong Convergence of Two-Dimensional Walsh–Fourier Series |
title_fullStr |
Strong Convergence of Two-Dimensional Walsh–Fourier Series |
title_full_unstemmed |
Strong Convergence of Two-Dimensional Walsh–Fourier Series |
title_sort |
strong convergence of two-dimensional walsh–fourier series |
publisher |
Інститут математики НАН України |
publishDate |
2013 |
topic_facet |
Статті |
url |
http://dspace.nbuv.gov.ua/handle/123456789/165573 |
citation_txt |
Strong Convergence of Two-Dimensional Walsh–Fourier Series / G. Tephnadze // Український математичний журнал. — 2013. — Т. 65, № 6. — С. 822–834. — Бібліогр.: 16 назв. — рос. |
series |
Український математичний журнал |
work_keys_str_mv |
AT tephnadzeg strongconvergenceoftwodimensionalwalshfourierseries |
first_indexed |
2023-10-18T22:16:22Z |
last_indexed |
2023-10-18T22:16:22Z |
_version_ |
1796155084020645888 |