Weak-L1 estimates and ergodic theorems
نویسندگان
چکیده
We prove that for any dynamical system (X,Σ,m, T ), the maximal operator defined by N∗f(x) = sup n 1 n # { 1 ≤ i : f(T ix) i ≥ 1 n } is almost everywhere finite for f in the Orlicz class L log logL(X), extending a result of Assani [2]. As an application, a weighted return times theorem is also proved.
منابع مشابه
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