Almost everywhere divergent subsequences of Fourier sums of functions from \(\varphi (L) \cap H_1^\omega\)

DOI10.1134/S0001434609030201zbMath1217.42008OpenAlexW1968569347MaRDI QIDQ1033955

N. Yu. Antonov

Publication date: 10 November 2009

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

Full work available at URL: https://doi.org/10.1134/s0001434609030201

zbMATH Keywords

Jensen's inequalitymodulus of continuityDirichlet kernelLebesgue measurabilitygap sequencetrigonometric Fourier seriesFourier sum

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items (1)

The pointwise convergence of Fourier series. II: strong \(L^1\) case for the lacunary Carleson operator

Cites Work

• Integrability of the majorants of Fourier sums and the divergence of Fourier series of functions with restrictions on the integral modulus of continuity.
• On the Divergence of Fourier Series
• On everywhere divergence of trigonometric Fourier series
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