SOME REMARKS ON SPECIAL SUBORDINATORS

被引：4
|
作者：
Song, Renming [1 ]
Vondracek, Zoran [2 ]
机构：
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
[2] Univ Zagreb, Dept Math, Zagreb 41000, Croatia
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2010年 / 40卷 / 01期
关键词：
Subordinator; potential density; Levy measure; Bernstein function; log-convex function; SUBORDERED FAMILY; POTENTIAL-THEORY;
D O I：
10.1216/RMJ-2010-40-1-321
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页码：321 / 337
页数：17
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