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- Title
On a problem of Hardy for Walsh-Fourier series.
- Authors
Bochkarev, S. V.
- Abstract
The article provides information on the solvability of the Hardy for Walsh-Fourier series' mathematical problems. It mentions the similar features between the Hardy for Walsh-Fourier series and the trigonometric series in terms of formulation as well as the equation. However, it connotes that Carleson's profound method is not applicable in determining the Fourier series of functions' partial sums. It highlights the applicability of the Paley function majorant as well as the Hardy-Littlewood maximal function. Furthermore, the theorems and the computation methods of the series' problems are also highlighted.
- Subjects
FOURIER series; HARMONIC functions; PARTIAL sums (Series); INFINITE series (Mathematics); MAXIMAL functions; FUNCTIONS of several real variables; TRIGONOMETRIC sums; HARMONIC analysis (Mathematics); LITTLEWOOD-Paley theory
- Publication
Doklady Mathematics, 2010, Vol 81, Issue 3, p390
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562410030142