= Let T : L'(R) → L'(R) be a linear transformation for t = p and t = 4, 1 1 where + 1 and 1
Posted: Thu May 12, 2022 9:39 am
= Let T : L'(R) → L'(R) be a linear transformation for t = p and t = 4, 1 1 where + 1 and 1<p < 0. Assume further that P9 Sif(T9 ) dm = [(75)gdn dm holds for all f in L(R) and all g in L'(R). Prove that T is continuous from LP(R) into LP(R) if and only if T is continuous from L'(R) into L'(R)