A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces
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Publication:2333586
DOI10.1515/gmj-2018-0045zbMath1440.42127arXiv1802.07761OpenAlexW2963949456WikidataQ129248218 ScholiaQ129248218MaRDI QIDQ2333586
Lars-Erik Persson, Giorgi Tephnadze, Károly Nagy, István Blahota
Publication date: 13 November 2019
Published in: Georgian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.07761
Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (12)
An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems ⋮ Convergence of \(T\) means with respect to Vilenkin systems of integrable functions ⋮ A note on the strong convergence of partial sums with respect to Vilenkin system ⋮ Some new weak (\(H_p\)-\(L_p\))-type inequality for weighted maximal operators of partial sums of Walsh-Fourier series ⋮ Some new \((H_p -L_p)\) type inequalities for weighted maximal operators of partial sums 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 \(H_1\) ⋮ Almost everywhere convergence of \(T\) means with respect to the Vilenkin system of integrable functions ⋮ Unnamed Item ⋮ Strong convergence theorem for Walsh-Kaczmarz-Fejér means ⋮ Maximal operators of T means with respect to Walsh-Kaczmarz system ⋮ A note on the strong summability of two-dimensional Walsh-Fourier series ⋮ On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces
Cites Work
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- On the Lebesgue test for convergence of Fourier series on unbounded Vilenkin groups
- On the partial sums of Vilenkin-Fourier series
- On generalized Walsh Fourier series
- Approximation by Vilenkin-Fourier sums
- Approximation to continuous functions by Walsh-Fourier sums
- Martingale Hardy spaces and their applications in Fourier analysis
- On the uniform convergence of Walsh-Fourier series
- Mean Convergence of Generalized Walsh-Fourier Series
- Almost Everywhere Convergence of Vilenkin-Fourier Series
- On the Vilenkin–Fourier coefficients
- Summability of Multi-Dimensional Fourier Series and Hardy Spaces
- On the Walsh Functions
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