Strong convergence of two-dimensional Walsh-Fourier series (Q395426)
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scientific article; zbMATH DE number 6251839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence of two-dimensional Walsh-Fourier series |
scientific article; zbMATH DE number 6251839 |
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Strong convergence of two-dimensional Walsh-Fourier series (English)
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29 January 2014
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The author shows that certain special means of quadratic partial sums of two-dimensional Walsh-Fourier series are uniformly bounded operators from the Hardy space \(H_p\) to the space \(L_p\) for \(0 < p <1.\) The bound obtained is similar to the one obtained previously in the one-dimensional case. Thus it generalizes the previously known result to the two-dimensional case.
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Walsh-Fourier series
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convergence
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