Abstract：On finite measurable set, convergence in measure of the measurable function sequence can be multiplicated and divided under appropriate condition. The article enumerates the reverse examples to illustrate the relevant conclusions are not correct on infinite measurable set under the same conditions. According to further discussion, it obtains a looser condition which ensures the relevant conclusions correct on infinite measurable set. Also, it gives the equivalent form verified easily for the condition.
收稿日期: 2007-01-25
引用本文:
姚磊,吴志刚,汪文军. 可测函数列在无限测度集上依测度收敛乘除成立的条件[J]. , 2007, 46(1): 0-0.
姚磊,吴志刚,汪文军. The condition of multiplicating and dividing the convergence in measure of the measurable function sequence on infinite measurable set. , 2007, 46(1): 0-0.
