Characterization of Carleson measures by the Hausdorff-Young property
Classical Analysis and ODEs
2013-12-25 v1
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.
Cite
@article{arxiv.1111.4603,
title = {Characterization of Carleson measures by the Hausdorff-Young property},
author = {Sergey Sadov},
journal= {arXiv preprint arXiv:1111.4603},
year = {2013}
}