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Théoreme ergodique local dans \(L_ p\) (\(1<p<\infty\)). (French) Zbl 0466.60038

MSC:

60F25 \(L^p\)-limit theorems
47A35 Ergodic theory of linear operators
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References:

[1] Akcoglu-Krengel , A differentiation theorem in Lp , Math. Z. , t. 169 , 1979 . Article | Zbl 0394.47021 · Zbl 0394.47021 · doi:10.1007/BF01214911
[2] Y. Kubokawa , A local ergodic theorem for semi-group on Lp Tohoku . Math. Journal , t. 26 , 1974 , p. 411 - 422 . Article | MR 352405 | Zbl 0289.47025 · Zbl 0289.47025 · doi:10.2748/tmj/1178241135
[3] S.A. Mac . GRATH, An abelian ergodic theorem for semi-group in Lp spaces . Proceed. Amer. Society , t. 54 , 1976 , p. 231 - 236 . MR 394250 | Zbl 0301.47009 · Zbl 0301.47009 · doi:10.2307/2040791
[4] T. Terrel , Local ergodic theorems for n-parameters semi-groups of operators . Contribution to ergodic and Prob. Theory . Springer-Verlag , N. Y. , 1970 . MR 268357 | Zbl 0204.45406 · Zbl 0204.45406
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