(a) For non-negative numbers u, v E Rap and positive coefficients p, q e Ryo, such that 1/p + 1/q =1, show that UV + P You may use the fact that > > log (r) is concave on Rso. (5 Marks) Let X (w) and Y (w) be functions from measure space (0, F, M) to (R, B (R))