Fourier--Rademacher coefficients of functions in rearrangement-invariant spaces

DOI10.1007/BF02679685zbMath0967.42016OpenAlexW1969319504MaRDI QIDQ5932615

Serguei V. Astashkin

Publication date: 10 June 2001

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

Full work available at URL: https://eudml.org/doc/121175

zbMATH Keywords

Fourier analysisFourier-Rademacher systemintermediate spacesinterpolation spacerearrangement-invariant spacespaces of Fourier-Rademacher coefficients

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 series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Abstract interpolation of topological vector spaces (46M35)

Related Items (2)

On Fourier coefficients of lacunary systems ⋮ Rademacher functions in symmetric spaces

Cites Work

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• Complementability of the subspace generated by the Rademacher system in a symmetric space
• Rademacher series in symmetric spaces
• On series with respect to the Rademacher system in rearrangement invariant spaces ``close to \(L_\infty\)
• Cotype and type of Lorentz function spaces
• The Distribution of Rademacher Sums
• On the best constants in the Khinchin inequality
• Interpolation of weighted $L_{p}$-spaces
• Calderón couples of rearrangement invariant spaces
• Interpolation of Quasi-Normed Spaces.

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