R_1上奇异型分布函数与其所产生的Lebesgue－Stieltjes测度的关系

ON THE RELATION BETWEEN SINGULAR DISTRIBUTION FUNCTION ON R_1 AND IT'S Lebesgue-Stieltjes MEASURE

本文讨论了Ｒ_１奇异型分布函数与其所产生的Ｌｅｂｅｓｇｕｃ－Ｓｔｉｅｌｔｊｅｓ测度的关系，给出了分布函数Ｆ（ｘ）为奇异型的一个等价条件。

The relation between singular distribution function and its Lebesgue-Stieltjes measure is discussed in this paper. Anequivalent condition for a distribution function F(x) to be singular is also given.