A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means
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Publication:305835
DOI10.1007/s00009-015-0565-8zbMath1358.42023arXiv1410.7978OpenAlexW1791960102MaRDI QIDQ305835
Lars-Erik Persson, Giorgi Tephnadze
Publication date: 31 August 2016
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.7978
maximal operatorVilenkin-Fourier seriesVilenkin systemFejér meansmartingale Hardy spaceVilenkin group
Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (10)
Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh-Fourier series ⋮ Convergence of \(T\) means with respect to Vilenkin systems of integrable functions ⋮ New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents ⋮ \((H_p-L_p)\)-type inequalities for subsequences of Nörlund means of Walsh-Fourier series ⋮ Some new restricted maximal operators of Fejér means of Walsh-Fourier series ⋮ Martingale Hardy spaces and some new weighted maximal operators of Fejér means of Walsh-Fourier series ⋮ Unnamed Item ⋮ Strong convergence theorem for Walsh-Kaczmarz-Fejér means ⋮ On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces ⋮ Modulus of continuity and convergence of subsequences of Vilenkin-Fejér means in martingale Hardy spaces
Cites Work
- Martingale Hardy spaces and their applications in Fourier analysis
- Cesàro means of integrable functions with respect to unbounded Vilenkin systems
- Maximal operators of Fejér means of double Walsh-Fourier series
- Cesàro summability of one- and two-dimensional Walsh-Fourier series
- On The maximal operators of Vilenkin-Fej\'er means
- Strong convergence theorem for Vilenkin--Fejer means
- A Maximal Inequality for H 1 -Functions on a Generalized Walsh-Paley Group
- On the maximal operator of Walsh-Kaczmarz-Fejér means
- Maximal operators of Fejér means of double Vilenkin–Fourier series
- On a generalization of the concept of derivative
- On the maximal operators of Vilenkin-Fejér means on Hardy spaces
- Weak type inequalities for the Walsh and bounded Ciesielski systems
- Cesàro summability with respect to two-parameter Walsh systems
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