The Hardy--Littlewood theorem for Fourier--Haar series

DOI10.1023/A:1023205725904zbMath1064.42017OpenAlexW1280428MaRDI QIDQ1886100

T. U. Aubakirov, E. D. Nursultanov

Publication date: 15 November 2004

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

Full work available at URL: https://doi.org/10.1023/a:1023205725904

zbMATH Keywords

interpolationHaar systemFourier-Haar seriestrigonometric seriesLebesgue measurePaley inequalitiesnet spacePeetre functionals

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (5)

Interpolation theorem for anisotropic net spaces ⋮ On multipliers of Fourier series in the Haar system ⋮ Multipliers of double Fourier-Haar series ⋮ Unnamed Item ⋮ The Hardy-Littlewood theorem for double Fourier-Haar series from mixed metric Lebesgue \(L_{\bar p}[0, 1^2\) and net \(N_{\bar p,\bar q}(M)\) spaces]

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