TWO-SIDED ESTIMATES OF THE LEBESGUE CONSTANTS WITH RESPECT TO VILENKIN SYSTEMS AND APPLICATIONS

DOI10.1017/S0017089516000549zbMath1379.42012OpenAlexW2595482539MaRDI QIDQ4600305

Giorgi Tephnadze, Lars-Erik Persson, István Blahota

Publication date: 8 January 2018

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089516000549

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (10)

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 \(H_1\) ⋮ On the \(L^1\) norm of the logarithmic kernel of Walsh-Kaczmarz Fourier series ⋮ Unnamed Item ⋮ Some problems of convergence of general Fourier series ⋮ Unnamed Item

Cites Work

• On the partial sums of Vilenkin-Fourier series
• Best approximation by Walsh polynomials
• On \(L_1\)-convergence of Walsh-Fourier series
• Martingale Hardy spaces and their applications in Fourier analysis
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