Integrability properties of the maximal operator on partial sums of Fourier series

DOI10.1007/BF02850020zbMath0683.42022OpenAlexW2055982835MaRDI QIDQ1824801

Fernando Soria

Publication date: 1989

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02850020

zbMATH Keywords

maximal operatorpartial sums of Fourier seriesextrapolation principle

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

• A note on Littlewood-Paley decompositions with arbitrary intervals
• On convergence and growth of partial sums of Fourier series
• An inequality of Paley and convergence a.e. of Walsh-Fourier series
• Note on differentiation of integrals and the halo conjecture
• Convexity, type and three space problem
• On an extrapolation theorem of Carleson-Sjölin type with applications to a.e. convergence of Fourier series
• The Transport Equation of Radiative Transfer in a Three-dimensional Space with Anisotropic Scattering

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