Last Updated:2025/11/26

The theorem guarantees that if a measurable set has positive measure, then there exists a nonzero integrable function supported on that set.

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The theorem guarantees that if a measurable set has positive measure, then there exists a nonzero integrable function supported on that set.

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定理は、可測集合がσ-代数を定義域とし値域が[0,∞]で可算加法性を満たす測度によって正の値を割り当てられているなら、その集合を支持する非ゼロの可積分関数が存在することを保証する。

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