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Square functions in ergodic theory. (English) Zbl 0854.28007

The paper is devoted to some parallels between ergodic theory and real analysis. Strong \(L^2\) and weak \(L^1\) estimates for square functions are obtained.

MSC:

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