摘要

A subordinator is called special if the restriction of its potential measure to (0, infinity) has a decreasing density with respect to the Lebesgue measure. In this note we investigate what type of measure mu on (0, infinity) can arise as Levy measures of special subordinators and what type of functions u : (0, infinity) -> [0, infinity) can arise as potential densities of special subordinators. As an application of the main results, we give examples of potential densities of subordinators which are constant to the rights of a positive number.

  • 出版日期2010