Almost everywhere strong summability of Fejér means of rectangular partial sums of two-dimensional Walsh-Fourier series (Q1795442)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost everywhere strong summability of Fejér means of rectangular partial sums of two-dimensional Walsh-Fourier series |
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Almost everywhere strong summability of Fejér means of rectangular partial sums of two-dimensional Walsh-Fourier series (English)
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16 October 2018
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A \(BMO\)-estimation is proved for rectangular partial sums of two-dimensional Walsh-Fourier series. Moreover, it is shown that the rectangular partial sums of two-dimensional Walsh-Fourier series of a function \(f \in L(\log L)^2\) are almost everywhere exponentially summable to the function \(f\).
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\(BMO\)-estimation
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rectangular partial sums
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Walsh-Fourier series
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exponentially summable
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