Cesàro transforms of Fourier coefficients of $L^\{\infty \}$-functions

DOI10.1090/S0002-9939-97-04040-9zbMath0955.42005OpenAlexW1530778240MaRDI QIDQ4372417

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Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04040-9

zbMATH Keywords

BMObounded mean oscillationessentially bounded functions

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Conjugate functions, conjugate series, singular integrals (42A50) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (3)

Hardy-type theorems on Fourier transforms revised ⋮ The Hardy and Bellman operators in spaces connected with \(H(\mathbb{T})\) and \(BMO(\mathbb{T})\) ⋮ Hardy-Goldberg operator and its conjugate one in Hardy spaces and \({\mathrm{BMO}}(\mathbb{T})\)

Cites Work

• Unnamed Item
• Explicit nonsoliton solutions of the Benjamin-Ono equation
• Bounded Toeplitz Operators on H 1 and Applications of the Duality Between H 1 and the Functions of Bounded Mean Oscillation
• Note on the Properties of Fourier Coefficients

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