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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| Datum: | 2013 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2013
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| Schriftenreihe: | Український математичний журнал |
| Schlagworte: | |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/165573 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| Zusammenfassung: | 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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