“Lusin's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Lusin's Theorem

释义

Lusin's Theorem

Let be a finite and Measurable Function in , and let be freely chosen. Then there is a function such that

where

denotes the upper bound of the aggregate of the values of

runs through all values of

References

Kestelman, H. §4.4 in Modern Theories of Integration, 2nd rev. ed. New York: Dover, pp. 30 and 109-112, 1960.

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