Hardy and Bellman transformations in spaces close to \(L_\infty\) and \(L_1\)

DOI10.1023/A:1015347622763zbMATH Open0999.42003OpenAlexW69146544MaRDI QIDQ1608597

V. A. Rodin

Publication date: 29 August 2002

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015347622763

zbMATH Keywords

BMOLorentz spaceOrlicz spaceMarcinkiewicz spaceHardy operatortrigonometric seriesBellman operatorcoefficientsarithmetic averagesBellman transformationHardy transformation

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 coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (1)

The Hardy and Bellman transforms of the spaces \(H^1\) and BMO

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