On convergence and divergence of Fourier series and Féjer means with applications to Lebesgue and Vilenkin-Lebesgue points

DOI10.1007/978-3-031-62894-8_16MaRDI QIDQ6611682

Publication date: 27 September 2024

Fourier analysis Fourier series Vilenkin system partial sums almost everywhere convergence Vilenkin group Carleson-Hunt theorem Kolmogorov theorem Féjer means divergence on sets of measure zero

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

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Some weak type inequalities and almost everywhere convergence of Vilenkin-Nörlund means
Martingale Hardy spaces and some new weighted maximal operators of Fejér means of Walsh-Fourier series
Some new \((H_p -L_p)\) type inequalities for weighted maximal operators of partial sums of Walsh-Fourier series

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