Folland Chapter 7 Exercise 17

Solution to exercise 17 from chapter 7 from Gerald Folland's textbook, "Real Analysis: Modern Techniques and Their Applications."

NOTE: The equality at 9:26 that I was concerned about does indeed hold by Tonelli's theorem since the natural numbers are countable and thus sigma-finite with respect to the counting measure, and the support of f is sigma-finite by construction.

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[Alex-rdwt]

Take care. Those sets K_i tilde don't seem to be disjoint. At least I don't see why.
Thanks for your sharing your material, btw.