Question: 3. Let (N, A, H) be a measure space and let f : N R be a measurable nonnegative function, summable against u. Then

3. Let (N, A, H) be a measure space and let f

3. Let (N, A, H) be a measure space and let f : N R be a measurable nonnegative function, summable against u. Then (as we know) v(A) fu is also a measure on A. Prove that for every function g : 2 R summable against v. Hint: Do it first for indicator functions g. (10 points).

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