Vector-valued ergodic theorems for multiparameter Additive processes II

• Autorzy: Ryotaro Sato
• Języki publikacji: EN

Abstrakty

EN

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 $W(·) = ess sup{||F(I)(·)||: I ⊂ [0, 1)^{d}}$ is integrable on Ω.

Kategorie tematyczne

• 47A35: Ergodic theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 97
• Numer: 1
• Strony: 117-129

Daty

wydano

2003

Twórcy

autor

Ryotaro Sato

• Department of Mathematics, Okayama University, Okayama, 700-8530 Japan

Identyfikatory

DOI

10.4064/cm97-1-11