Moving averages in the plane

zbMath1309.42025MaRDI QIDQ2441060

Laurent Moonens, Joseph Max Rosenblatt

Publication date: 21 March 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1391178547

zbMATH Keywords

maximal operatorergodic averagesmoving averagesLebesgue averages

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (2)

Differentiating Orlicz spaces with rare bases of rectangles ⋮ Almost everywhere convergence for Lebesgue differentiation processes along rectangles

Cites Work

• On limits of sequences of operators
• On certain maximal functions and approach regions
• A Banach principle for \(L^ \infty\)
• Maximal inequalities of weak type
• A decomposition theorem for partially ordered sets
• Convergence for moving averages
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• A new maximal inequality and its applications
• ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS

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