Characterization of Carleson measures by the Hausdorff-Young property

Details Characterization of Carleson measures by the Hausdorff-Young property Characterization of Carleson measures by the Hausdorff-Young property

2011-11-20

arxiv.org/abs/1111.4603v1

Mathematics

Classical Analysis and ODEs

Scientific paper

It is shown that the Laplace transform of an Lp (1the 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.

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