The Carleson-Hunt theorem on Fourier series

DOI10.1007/BFb0094072zbMath0493.42002OpenAlexW639142637MaRDI QIDQ1168532

Ole G. Jorsboe, Leif Mejlbro

Publication date: 1982

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0094072

zbMATH Keywords

Hilbert transformsingular integral operatorsHardy-Littlewood maximal operatorexponential estimatesinterpolation theoremsgeneralized Fourier coefficientsCarleson- Hunt's theoremdyadic intervalsLebesgue's differentiation theorem

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Convergence and divergence of series and sequences (40A05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (8)

An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems ⋮ Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols ⋮ Pointwise universal consistency of nonparametric density estimators ⋮ The Sobolev Norms and Localization on the Fourier Side for Solutions to Some Evolution Equations ⋮ On random variate generation when only moments of Fourier coefficients are known ⋮ Pointwise convergence of almost periodic Fourier series and associated series of dilates ⋮ A QUANTUM WALK WITH A DELOCALIZED INITIAL STATE: CONTRIBUTION FROM A COIN-FLIP OPERATOR ⋮ The well-posedness, blow-up, and traveling waves for a two-component Fornberg–Whitham system

This page was built for publication: The Carleson-Hunt theorem on Fourier series