Note on differentiation of integrals and the halo conjecture
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Publication:3041454
DOI10.4064/SM-81-1-29-36zbMath0526.28003OpenAlexW908144856WikidataQ123333204 ScholiaQ123333204MaRDI QIDQ3041454
Publication date: 1985
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/218676
maximal operatorsdifferentiation baseshalo functionquasi-Banach function spacedifferentiation of integralsLorentz class
Maximal functions, Littlewood-Paley theory (42B25) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Abstract differentiation theory, differentiation of set functions (28A15)
Related Items (10)
Pointwise convergence of Fourier series. I: On a conjecture of Konyagin ⋮ Differential properties of bases and halo problem for rearrangement-invariant spaces ⋮ Solyanik estimates and local Hölder continuity of halo functions of geometric maximal operators ⋮ The polynomial Carleson operator ⋮ Majorant estimates for partial sums of multiple Fourier series of functions from Orlicz spaces vanishing on some set ⋮ 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 ⋮ Integrability properties of the maximal operator on partial sums of Fourier series ⋮ The pointwise convergence of Fourier series. II: strong \(L^1\) case for the lacunary Carleson operator
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