Transformations of Fourier coefficients of certain classes of functions

DOI10.1007/BF01224835zbMath0469.42002OpenAlexW2067376429MaRDI QIDQ1156959

E. Alshynbaeva

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf01224835

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) Other transformations of harmonic type (42C20)

Related Items (2)

On Hardy and Bellman transforms of the Fourier coefficients of functions in symmetric spaces ⋮ Hardy-Goldberg operator and its conjugate one in Hardy spaces and \({\mathrm{BMO}}(\mathbb{T})\)

Cites Work

• On multipliers preserving convergence of trigonometric series almost everywhere
• On the Arithmetic Mean of Fourier-Stieltjes Coefficients
• Note on the Properties of Fourier Coefficients
• A note on a theorem of Hardy on Fourier constants
• Majorants in Spaces of Integrable Functions

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