连续可微变换与可测集及可测函数  

The Continuously Differentiable Transformation and Measurability of Set and Functions

作　　者：张永锋[1] 

机构地区：[1]咸阳师范学院数学与信息科学学院,陕西咸阳712000

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)

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.

关 键 词：变换 可测集 可测函数 勒贝格积分 

分 类 号：O174.12[理学—数学]