On an extrapolation theorem of Carleson-Sjölin type with applications to a.e. convergence of Fourier series

DOI10.4064/sm-94-3-235-244zbMath0684.42001OpenAlexW818126295MaRDI QIDQ4734253

Fernando Soria

Publication date: 1989

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/218944

zbMATH Keywords

Yano's extrapolation theoremalmost everywhere convergence of Fourier- Walsh series

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (15)

Pointwise convergence of Fourier series. I: On a conjecture of Konyagin ⋮ The polynomial Carleson operator ⋮ Almost everywhere convergent Fourier series ⋮ On weak-type (1, 1) for averaging type operators ⋮ Weak-\(L^p\) bounds for the Carleson and Walsh-Carleson operators ⋮ Endpoint estimates for Rubio de Francia operators ⋮ On the pointwise convergence of the sequence of partial Fourier sums along lacunary subsequences ⋮ Weak (1,1) boundedness of oscillatory singular integral with variable phase ⋮ Weighted norm inequalities for maximally modulated singular integral operators ⋮ Multilinear extrapolation and applications to the bilinear Hilbert transform ⋮ Integrability properties of the maximal operator on partial sums of Fourier series ⋮ Integrability Properties of the Maximal Operator on Partial Sums of Fourier Series in Orlicz Spaces ⋮ New extrapolation estimates ⋮ Bergman projections, Berezin transforms and Cauchy transform on exponential Orlicz spaces and Lorentz-Zygmund spaces ⋮ The pointwise convergence of Fourier series. II: strong \(L^1\) case for the lacunary Carleson operator

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