Subadditive maximal ergodic theorem

Blahoslav Harman

Displaying similar documents to “Subadditive maximal ergodic theorem”

On the integrability of the ergodic maximal function

Burgess Davis (1982)

Studia Mathematica

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On the uniqueness of the ergodic maximal function

Lasha Ephremidze (2002)

Fundamenta Mathematicae

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It is proved that the ergodic maximal operator is one-to-one.

Pointwise ergodic theorems in Lorentz spaces L(p,q) for null preserving transformations

Ryotaro Sato (1995)

Studia Mathematica

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Let (X,ℱ,µ) be a finite measure space and τ a null preserving transformation on (X,ℱ,µ). Functions in Lorentz spaces L(p,q) associated with the measure μ are considered for pointwise ergodic theorems. Necessary and sufficient conditions are given in order that for any f in L(p,q) the ergodic average $n^{- 1} \sum_{i = 0}^{n - 1} f \circ τ^{i} (x)$ converges almost everywhere to a function f* in $L (p_{1}, q_{1}]$ , where (pq) and $(p_{1}, q_{1}]$ are assumed to be in the set $(r, s) : r = s = 1, o r 1 < r < \infty a n d 1 \leq s \leq \infty, o r r = s = \infty$ . Results due to C. Ryll-Nardzewski, S. Gładysz, and I. Assani and J. Woś are generalized...

On the uniqueness of the uncentered ergodic maximal function

Paul Alton Hagelstein (2004)

Fundamenta Mathematicae

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It is shown that if two functions share the same uncentered (two-sided) ergodic maximal function, then they are equal almost everywhere.

Ergodic theorem, reversibility and the filling scheme

Yves Derriennic (2010)

Colloquium Mathematicae

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The aim of this short note is to present in terse style the meaning and consequences of the "filling scheme" approach for a probability measure preserving transformation. A cohomological equation encapsulates the argument. We complete and simplify Woś' study (1986) of the reversibility of the ergodic limits when integrability is not assumed. We give short and unified proofs of well known results about the behaviour of ergodic averages, like Kesten's lemma (1975). The strikingly simple...

A reverse maximal ergodic theorem

Ryotaro Sato (1983)

Studia Mathematica

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Ergodic States in a Non Commutative Ergodic Theory

S. Doplicher, D. Kastler (1968)

Recherche Coopérative sur Programme n°25

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Counting and convergence in ergodic theory

Idris Assani, Zoltán Buczolich, Daniel R. Mauldin (2004)

Acta Universitatis Carolinae. Mathematica et Physica

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On the ergodic theorems (I) (Generalized ergodic theorems)

C. Ryll-Nardzewski (1951)

Studia Mathematica

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