A Hausdorff-Young theorem for rearrangement-invariant spaces
A Hausdorff-Young theorem for rearrangement-invariant spaces
The classical Hausdorff-Young theorem is extended to the setting of rearrangement-invariant spaces.More precisely, if 1 ^ V ^ 2, p~x + q-1 = 1, and if X is a rearrangement-invariant space on the circle T with indices equal to p~ι 9 it is shown that there is a rearrangement-invariant space …