Lusin Theorem and the Natural Disposition Theorem of the Measurable Functions
QI Min-ju · Journal of Shanghai Dianji University · 2009
The relations between the Lusin theorem and the natural disposition theorem of the Lebesgue measurable functions are discussed in this paper,according to the almost every point of the n-dimension Lebesgue measurable set being the entire dense spot and the Lusin theorem.The natural disposition theorem of Lebesgue measurable functions is proved,and so is the Lusin theorem by the natural disposition theorem of the Lebesgue measurable functions.