绝对连续测度的Loeb代数

摘要

It is proved that if μ and v be finite measures on a measurable space (X, S) and vis absolutely continuous with respect to v, then it is holds that L(*S, *μ) L(*S, *v), while L(*S, *μ) and L(*S, *v) are the Loeb algebras with respect to measure spaces (X, S,μ) and (X, S, v).