Almost everywhere convergence of nets of operators and weak type maximal inequalities

DOI10.4064/fm272-2-2023MaRDI QIDQ6185791

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Publication date: 30 January 2024

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

zbMATH Keywords

maximal operatoralmost everywhere convergenceweak type inequalitynet of operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Ergodic theory of linear operators (47A35) Abstract differentiation theory, differentiation of set functions (28A15) Convergence of Fourier series and of inverse transforms (43A50)

Cites Work

• Weak type inequalities for maximal operators associated to double ergodic sums
• On limits of sequences of operators
• Differentiation of integrals in \(\mathbb{R}^n\)
• Maximal inequalities of weak type
• Commuting measure-preserving transformations
• On the finiteness of strong maximal functions associated to functions whose integrals are strongly differentiable
• Transference of weak type bounds of multiparameter ergodic and geometric maximal operators
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