29 = Question 2. Let (Xi, B;) be measurable spaces, i = 1,2. Let Mi, vi be o-finite measures on (X,B;), i = 1, 2. Suppose we have vi Mi for i 1,2. (1) Prove that vi X V2 Mi X M2. Hint. Start with finite measures and consider a disjoint union of boxes. (2) Prove that dvi X v2) dvi dva a.e. M1 X 12. d( 2) dui dua = > 29 = Question 2. Let (Xi, B;) be measurable spaces, i = 1,2. Let Mi, vi be o-finite measures on (X,B;), i = 1, 2. Suppose we have vi Mi for i 1,2. (1) Prove that vi X V2 Mi X M2. Hint. Start with finite measures and consider a disjoint union of boxes. (2) Prove that dvi X v2) dvi dva a.e. M1 X 12. d( 2) dui dua = >