Rules for calculating the densities of Borel measures which are absolutely continuous with respect to a positive nonatomic Radon measure are considered. The Borel measures are generated by composite functions which depend on continuous functions of bounded variation defined on an interval. Questions related to the absolute continuity of Borel measures generated by composite functions with respect to a positive Radon measure and rules for calculating the densities of Borel measures generated by composite functions with respect to a positive nonatomic Radon measure are studied.

中文翻译：

---

替代可衡量夹杂物的测量密度

考虑用于计算相对于正非原子Rad测量绝对连续的Borel测度密度的规则。Borel度量是由复合函数生成的，复合函数取决于在区间上定义的有界变化的连续函数。研究了与复合函数相对于正Radon测度产生的Borel测度的绝对连续性有关的问题，以及对复合函数相对于正非原子Radon测度计算出Borel测度的密度的规则。