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Hey guys thank you for helping me, It's vanishing property and finiteness property. and I wanna prove:


$f\ge0$ and $f$ is measurable. Then,

1. $\int fd\lambda=0 \Longleftrightarrow \{x|f(x)>0\}$ is a null set.
2. $\int fd\lambda<\infty \Longrightarrow \{x|f(x)=\infty\}$ is a null set.


I don't know how can I approach. please help me. thx

  • 3
    Is this homework?2012-05-06

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