On Hardy and Bellman transforms of the Fourier coefficients of functions in symmetric spaces

DOI10.1007/BF01210216zbMath0802.42001OpenAlexW2040533755MaRDI QIDQ1326069

O. Ya. Berchiyan

Publication date: 13 July 1994

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

Full work available at URL: https://doi.org/10.1007/bf01210216

zbMATH Keywords

Fourier coefficientsfundamental functionFatou propertyHardy transformBellman transformsymmetric function space

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) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

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• On the transformation of Fourier coefficients of certain classes of functions
• Transformations of Fourier coefficients of certain classes of functions
• A note on norms of compression operators on function spaces
• Note on the Properties of Fourier Coefficients
• A note on a theorem of Hardy on Fourier constants

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