Characterization of Carleson measures by the Hausdorff-Young property
arXiv:1111.4603 · doi:10.4213/mzm9344
Abstract
It is shown that the Laplace transform of an Lp (1<p<=2) function defined on the positive semiaxis satisfies the Hausdorff-Young type inequality with a positive weight in the right complex half-plane if and only if the weight is a Carleson measure.