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Answers for “当 0 < p < +\infty 时，可测函数的 p-范数的定义是什么？”

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We use 'holds almost everywhere' because it reflects the essential properties of the function in measure theory, allowing the inequality to fail on a set of measure zero without affecting the overall boundedness classification.

Conditions: The context is measure theory and Lebesgue integration.; The function is measurable.

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