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

Transcribed Image Text:

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). 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).