Ergodic theorems in $\sigma $ -lattice cones

Gologan, Radu-Nicolae

Displaying similar documents to “Ergodic theorems in $σ$ -lattice cones”

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

C. Ryll-Nardzewski (1951)

Studia Mathematica

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Oscillations of observables in 1-dimensional lattice systems.

Collet, Pierre, Eckmann, Jean-Pierre (1997)

Mathematical Physics Electronic Journal [electronic only]

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An ergodic theorem without invariant measure

R. Sato (1990)

Colloquium Mathematicae

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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...

Sections in function spaces

Henry Helson (1979)

Bulletin de la Société Mathématique de France

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On the integrability of the ergodic maximal function

Burgess Davis (1982)

Studia Mathematica

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Displaying similar documents to “Ergodic theorems in σ -lattice cones”

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

Oscillations of observables in 1-dimensional lattice systems.

An ergodic theorem without invariant measure

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

Sections in function spaces

On the integrability of the ergodic maximal function

Displaying similar documents to “Ergodic theorems in $σ$ -lattice cones”