\((H_p-L_p)\)-type inequalities for subsequences of Nörlund means of Walsh-Fourier series
DOI10.1186/s13660-023-02955-9arXiv2303.01846OpenAlexW4362700954MaRDI QIDQ6067230
Kristoffer Tangrand, Giorgi Tephnadze, Lars-Erik Persson, David Baramidze
Publication date: 14 December 2023
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.01846
inequalitiesconvergenceWalsh systemCesàro meansdivergenceNörlund meansmartingale Hardy spaceNörlund logarithmic means
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30) Inequalities for sums, series and integrals (26D15)
Cites Work
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- A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means
- Sharp \(H_{p}\)-\(L_{p}\) type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications
- Approximation by Nörlund means of Walsh-Fourier series
- Martingale Hardy spaces and their applications in Fourier analysis
- \((C,\alpha)\) summability of Walsh-Fourier series
- On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\)
- Approximation by \(\Theta\)-means of Walsh-Fourier series
- Strong convergence theorem for Vilenkin-Fourier series
- Some inequalities related to strong convergence of Riesz logarithmic means
- Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh-Fourier series
- Maximal operators of Vilenkin-Nörlund means
- Weak inequalities for Cesàro and Riesz summability of Walsh-Fourier series
- Uniform and \(L\)-convergence of logarithmic means of Walsh-Fourier series
- An estimate of the maximal operator of the Nörlund logarithmic means with respect to the character system of the group of 2-adic integers on the Hardy space \(H_1\)
- Wavelet frames on Vilenkin groups and their approximation properties
- Approximation by Marcinkiewicz ϴ-means of double Walsh-Fourier series
- On the Walsh Functions
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