Almost everywhere convergence of ergodic series
نویسندگان
چکیده
منابع مشابه
Almost Everywhere Convergence of Series in L
We answer positively a question of J. Rosenblatt (1988), proving the existence of a sequence (ci) with ∑∞ i=1 |ci| = ∞, such that for every dynamical system (X,Σ, m, T ) and f ∈ L1(X), ∑∞i=1 cif(T ix) converges almost everywhere. A similar result is obtained in the real variable context.
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2015
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2015.58