Some remarks on special subordinators
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.
scientific article; zbMATH DE number 5704118