Hello, I need help to write formally the answer to the following problem
Define a measure on (the Borel subsets of ) by
a. let . Find
I did a graph, and I think this should be 1
b. let . Find
Same deal as above, I did a graph and I think it has to be 1/3
If I split
into
and
Both and are -finite measures, also is the Lebesgue measure restricted to ?
Am I on the right track?
Thanks in advance,