부산대학교 도서관

Let (X , , μ) be a probability space, let T be a contraction on L p (μ) and let f in L p (μ) , (p > 1). In this paper, we provide suitable conditions over sequences (w k) , (u k) and (A k) in such a way that the limit of the weighted ergodic average is lim N → ∞ 1 A N ∑ k = 0 N − 1 w k T u k (f) = 0 μ -a.e. We also give applications which concretely prove the effectiveness of the obtained theorems. More precisely, we construct sequences (w k) and (u k) that were difficult to deal with previously, which satisfy the conditions of our theorems. [ABSTRACT FROM AUTHOR]