scientific article; zbMATH DE number 7429841
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Publication:5860056
zbMath1478.42028MaRDI QIDQ5860056
Publication date: 18 November 2021
Full work available at URL: http://www.nonlinearstudies.com/index.php/nonlinear/article/view/2405
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maximal operatorVilenkin-Fourier seriesVilenkin systemmartingale Hardy spaceVilenkin group\(T\) means\(\text{weak-}L_p\) spaces
Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (8)
Convergence of \(T\) means with respect to Vilenkin systems of integrable functions ⋮ Sharp $(H_p,L_p)$ and $(H_p,\text{weak}-L_p)$ type inequalities of weighted maximal operators of $T$ means with respect to Vilenkin systems ⋮ Almost everywhere convergence of \(T\) means with respect to the Vilenkin system of integrable functions ⋮ Some problems of convergence of general Fourier series ⋮ Unnamed Item ⋮ Modulus of continuity and convergence of subsequences of Vilenkin-Fejér means in martingale Hardy spaces ⋮ Vilenkin-Lebesgue points and almost everywhere convergence for some classical summability methods ⋮ Sharp \((H_p, L_p)\) type inequalities of maximal operators of \(T\) means with respect to Vilenkin systems
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