On the Hardy and Bellman transforms for orthogonal Fourier series.

DOI10.1023/A:1012397207192zbMath1041.42025OpenAlexW155000327MaRDI QIDQ1809991

Nazerke Tleukhanova

Publication date: 15 June 2003

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

Full work available at URL: https://doi.org/10.1023/a:1012397207192

zbMATH Keywords

boundednessLorentz spaceorthogonal Fourier seriesHardy transformBellman transform

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General harmonic expansions, frames (42C15) General integral transforms (44A05)

Related Items (3)

On Hardy and Bellman transforms of series with respect to multiplicative systems in symmetric spaces ⋮ A Hardy-Littlewood theorem for multiple series ⋮ 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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