Vector-valued ergodic theorems for multiparameter Additive processes II

Ryotaro Sato

Ryotaro Sato

Colloquium Mathematicae, Tome 96 (2003), p. 117-129 / Harvested from The Polish Digital Mathematics Library

Résumé

Previously we obtained stochastic and pointwise ergodic theorems for a continuous d-parameter additive process F in L₁((Ω,Σ,μ);X), where X is a reflexive Banach space, under the condition that F is bounded. In this paper we improve the previous results by considering the weaker condition that the function $W (\cdot) = e s s s u p {| | F (I) (\cdot) | | : I \subset [0, 1)}^{d}$ is integrable on Ω.

Publié le : 2003-01-01

Zbl 1045.47012

EUDML-ID : urn:eudml:doc:284516

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     title = {Vector-valued ergodic theorems for multiparameter Additive processes II},
     journal = {Colloquium Mathematicae},
     volume = {96},
     year = {2003},
     pages = {117-129},
     zbl = {1045.47012},
     language = {en},
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Ryotaro Sato. Vector-valued ergodic theorems for multiparameter Additive processes II. Colloquium Mathematicae, Tome 96 (2003) pp. 117-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm97-1-11/