In exercise 1b) in the ¡­

In exercise 1b) in the mandatory assignement, the statement might be misunderstood. To be precise, it should have been stated :

"... if and only if f \rho belongs to L^1_(\bar R) (\mu) ..." instead of "... if and only if f \rho belongs to L^1 (\mu) ...".

In fact, in light of Cor. 10.13, it is common to identify L^1 (\mu) and L^1_(\bar R) (\mu); but this might sometimes be confusing.