Lebesgue's decomposition theorem

（重定向自Lebesgue decomposition）

In mathematics, more precisely in measure theory, Lebesgue's decomposition theorem states that for every two σ-finite signed measures $\mu$ and $\nu$ on a measurable space $(\Omega,\Sigma),$ there exist two σ-finite signed measures $\nu_0$ and $\nu_1$ such that:

These two measures are uniquely determined by $\mu$ and $\nu$ .

单词	Lebesgue decomposition
释义	Lebesgue decomposition 英语百科 Lebesgue's decomposition theorem （重定向自Lebesgue decomposition） In mathematics, more precisely in measure theory, Lebesgue's decomposition theorem states that for every two σ-finite signed measures $\mu$ and $\nu$ on a measurable space $(\Omega,\Sigma),$ there exist two σ-finite signed measures $\nu_0$ and $\nu_1$ such that: These two measures are uniquely determined by $\mu$ and $\nu$ .
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