# Borel measure

1. Nov 20, 2008

### Smiling

Show that if E is a Borel measurable subset of R, then {(x,y)| x-y is in E} is also measurable in the product space of Borel measures...

Also, if f is a measurable function, show that F(x,y)=f(x-y) is also measurable..

2. Nov 21, 2008

### Pere Callahan

You must show you work before we can help you.

In the meantime: What do you know about measurable sets in R^2 ?

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