convergent in measure

The condition of multiplicating and dividing the convergence in measure of the measurable function sequence on infinite measurable set;

可测函数列在无限测度集上依测度收敛乘除成立的条件

The definitions and properties of strong convergence,weak convergence and convergence in measure of integrable fanction space L~p are generalized in the paper.

文章对可积函数空间L~P中强收敛、弱收敛和依测度收敛几种收敛的定义和性质进行归纳和总结,讨论他们之间的关系,并给出了相应结果的证明,从而使各种收敛关系更加明晰和透彻。