Pointwise convergence of lacunary partial sums of almost periodic Fourier series

DOI10.1090/S0002-9939-2014-11908-3zbMath1312.42012arXiv1112.4346OpenAlexW1991062607MaRDI QIDQ5401517

Andrew D. Bailey

Publication date: 13 March 2014

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

Full work available at URL: https://arxiv.org/abs/1112.4346

zbMATH Keywords

almost periodic functionsHilbert transformalmost everywhere convergencelacunary Fourier seriesStepanov spacesLittlewood-Paley type theorem

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Classical almost periodic functions, mean periodic functions (42A75) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (1)

Pointwise convergence of almost periodic Fourier series and associated series of dilates

Cites Work

• On convergence and growth of partial sums of Fourier series
• Classical Fourier Analysis
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
• On an integral inequality of the Stepanoff type and its applications
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