Egorov定理在Lebesgue不可测集上的推广

GENERALIZATION OF EGOROV THEOREM ON LEBESGUE NOMEASURABLE SET

本文将实变函数论中著名的Egorov定理推广到外测度连续的σ—代数上,进而证明了Egorov定理在Lebesgue不可测集上对Lebegue外测度仍然有效。

This paper generalizes Egoror theorem onto σ-algebra with continous outer measureand proves that Egorov Theorem is effective on Lebesgue nonmeasurable set.