On the convergence of lacunary Walsh-Fourier series

DOI10.1112/blms/bdr088zbMath1241.42005arXiv1101.2461OpenAlexW3098167997MaRDI QIDQ2880377

Yen Do, Michael T. Lacey

Publication date: 13 April 2012

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

Full work available at URL: https://arxiv.org/abs/1101.2461

zbMATH Keywords

Walsh-Fourier series

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (11)

Pointwise convergence of Fourier series. I: On a conjecture of Konyagin ⋮ Convergence and localization in Orlicz classes for multiple Walsh-Fourier series with a lacunary sequence of rectangular partial sums ⋮ The polynomial Carleson operator ⋮ Weak-\(L^p\) bounds for the Carleson and Walsh-Carleson operators ⋮ A weak generalized localization criterion for multiple Walsh-Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums ⋮ Endpoint bounds for the quartile operator ⋮ Lacunary Fourier and Walsh-Fourier series near \(L^1\) ⋮ On the pointwise convergence of the sequence of partial Fourier sums along lacunary subsequences ⋮ Endpoint bounds for the bilinear Hilbert transform ⋮ Lacunary Walsh series in rearrangement invariant spaces ⋮ The pointwise convergence of Fourier series. II: strong \(L^1\) case for the lacunary Carleson operator

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