Characterization of Carleson measures by the Hausdorff-Young property
classification
🧮 math.CA
keywords
carlesonhausdorff-youngpositiveweightcharacterizationcomplexdefinedfunction
read the original 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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