Maximal Ergodic定理的证明

THE PROOF OF THE MAXIMAL ERGODIC THEOREM

讨论了Maximal Ergod ic定理:设(X,Β,μ)是一个有限测度空间,T是X到X上的保测变换,f是X上的可测函数,那么就有∫{f*>0}fdμ≥0.我们利用数学归纳法重新证明了这个经典定理。

Abstract：In the paper, we discuss the Maximal Ergodic measure, T a measure-preservative transformation from ∫｜∫^＋〉0｜fdμ≥0And we give a new proof to the theorem by Theorem ： Let （X, B ,μ） be a measurable space with finite X to X, and f a measurable function on X, then we have induction.