摘要
讨论了连续可微的一一变换下,集合与函数的Lebesgue可测性问题,对相应结论给出了简明而严格的证明,利用文中结果证明了Lebesgue积分的变量替换公式。
This paper discusses the problems about continuously differentiable transformation and Lebesgue measurability of set and functions.Besides,the specific and strict proofs of the relevant conclusion are given.We prove the variable replacement formula of Lebesgue itegration strictly by using solutions of this paper.
出处
《咸阳师范学院学报》
2012年第6期1-3,共3页
Journal of Xianyang Normal University
基金
陕西省教育厅自然科学基金项目(11JK0479)
关键词
变换
可测集
可测函数
勒贝格积分
transformation
measurable set
measurable function
lebesgue integration
