Some remarks on special subordinators (Q968592)
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scientific article; zbMATH DE number 5704118
| Language | Label | Description | Also known as |
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| English | Some remarks on special subordinators |
scientific article; zbMATH DE number 5704118 |
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Some remarks on special subordinators (English)
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5 May 2010
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A subordinator is called \textit{special} if the restriction of its potential measure to \((0, \infty)\) has a decreasing density with respect to the Lebesgue measure. In the article, the following questions are investigated: what type of measures \(\mu\) on \((0, \infty)\) can arise as Lévy measures of special subordinators, and what type of functions \(u: (0, \infty) \to [0, \infty)\) can arise as potential densities of special subordinators. As an application of the main result, examples of potential densities of subordinators are given, which are constant to the right of a positive number.
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subordinator
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potential density
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Lévy measure
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Bernstein function
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log-convex function
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