Ergodic averages on circles

DOI10.1007/BF02787789zbMath0874.28021MaRDI QIDQ1911487

Michael T. Lacey

Publication date: 11 June 1996

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

ergodic averagescommuting transformationsmeasure preserving flowsmaximal variational inequality

Mathematics Subject Classification ID

One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (7)

Weak ergodic averages over dilated measures ⋮ Strong variational and jump inequalities in harmonic analysis ⋮ Averages on annuli of Euclidean space ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ Non-commutative ergodic averages of balls and spheres over Euclidean spaces ⋮ The spherical ergodic theorem revisited ⋮ Spectral criteria, SLLN's and a.s. convergence of series of stationary variables

Cites Work

• Unnamed Item
• Averages in the plane over convex curves and maximal operators
• Wave front sets, local smoothing and Bourgain's circular maximal theorem
• Ergodic averages on spheres
• Maximal functions: Spherical means

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