A note on a theorem of Hardy on Fourier constants

DOI10.1090/S0002-9904-1944-08230-XzbMath0060.18404OpenAlexW2013141658MaRDI QIDQ5835537

Richard Bellman

Publication date: 1944

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1944-08230-x

zbMATH Keywords

approximation and series expansion

Related Items (18)

On Hardy and Bellman transforms of the Fourier coefficients of functions in symmetric spaces ⋮ On a Hardy's theorem ⋮ On Hardy and Bellman transforms of series with respect to multiplicative systems in symmetric spaces ⋮ Hardy-type theorems on Fourier transforms revised ⋮ Transformations of conjugate functions ⋮ On the Bellman transform of the coefficients of some special sine series ⋮ Transformations of Fourier coefficients of certain classes of functions ⋮ Cesàro averaging operators on Hardy spaces ⋮ On the binary analogs of the Hardy and Hardy--Littlewood operators ⋮ On the boundedness of generalized Cesàro operators on Sobolev spaces ⋮ On the averages of Fourier-Stieltjes coefficients ⋮ The Hardy and Bellman operators in spaces connected with \(H(\mathbb{T})\) and \(BMO(\mathbb{T})\) ⋮ Wiener-Beurling spaces and their properties ⋮ The Hardy and Bellman transforms of the spaces \(H^1\) and BMO ⋮ Integrability properties of Fourier-Stieltjes coefficients ⋮ Arithmetic Means of Fourier Coefficients ⋮ Shift of spaces by means of the Hardy and Bellman transforms ⋮ Hardy-Goldberg operator and its conjugate one in Hardy spaces and \({\mathrm{BMO}}(\mathbb{T})\)

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