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arXiv · 1111.4603

Characterization of Carleson measures by the Hausdorff-Young property

Sergey Sadov
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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.

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Sergey Sadov. 2011-11-20. Characterization of Carleson measures by the Hausdorff-Young property. https://doi.org/10.4213/mzm9344

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