关于Orlicz空间中依测度收敛点列的一点注

Some remarks on the convergence in measure of Orlicz spaces

给出Orlicz空间中依测度收敛的两个等价条件,并由此分别修正了陈述涛的专著《Geometry of Orlicz Space》中的两个收敛定理的证明.

The paper obtained two equivalent conditions of convergence in measure of Orlicz spaces, which were used to revise the proofs of two convergence theorems in Chen＇ s monograph 《 Geometry of Orlicz Space》.