Let be Borel measures on for x-axis and y-axis. Let .

a)show is measurable on .

b)Evaluate , , and .

i have no idea how to do this. any help would be appreciated.

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- Jan 19th 2010, 08:21 PMPRLMiterated integral
Let be Borel measures on for x-axis and y-axis. Let .

a)show is measurable on .

b)Evaluate , , and .

i have no idea how to do this. any help would be appreciated. - Jan 20th 2010, 03:45 AMgirdav
Let , for We have

and because is measurable we have the result. - Jan 23rd 2010, 09:18 PMPRLM
- Jan 24th 2010, 12:26 AMgirdav
It's the sum of two measurable functions.

I think you can use Fubini because you have a -finite space .