Examples and counterexamples to a conjecture in the theory of differentiation of integrals

DOI10.2307/1971350zbMath0593.42007OpenAlexW2328162041WikidataQ122947146 ScholiaQ122947146MaRDI QIDQ1076268

Fernando Soria

Publication date: 1986

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971350

zbMATH Keywords

differentiability propertiesexamplesJessen- Marcinkiewicz-Zygmund theoremVitali's covering lemma

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Related Items (11)

Sharp weak type estimates for a family of Soria bases ⋮ Unboundedness for some strong maximal functions on weighted Lebesgue spaces ⋮ Zygmund type and flag type maximal functions, and sparse operators ⋮ Córdoba's differentiation theorem: revisited ⋮ Sharp weak‐type estimates for maximal operators associated to rare bases ⋮ Sharp weak type estimates for a family of Córdoba bases ⋮ Another counterexample to Zygmund’s conjecture ⋮ Sparse domination and the strong maximal function ⋮ Some notes on a conjecture of Zygmund ⋮ Zygmund's program: some partial solutions. ⋮ Sharp weak type estimates for a family of Zygmund bases

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