Some remarks on special subordinators
type: Item
instance of: scholarly article
title: Some remarks on special subordinators
zbMATH Open document ID: 1196.60086
DOI: 10.1216/RMJ-2010-40-1-321
author: Renming Song
author: Zoran Vondraček
published in: Rocky Mountain Journal of Mathematics
publication date: 2010-05-05T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 60G51
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 5704118
zbMATH Keywords: subordinator
zbMATH Keywords: potential density
zbMATH Keywords: Lévy measure
zbMATH Keywords: Bernstein function
zbMATH Keywords: log-convex function
reviewed by: Pavel Gapeev
MaRDI profile type: Publication
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full work available at URL: rmj-2010-40-1-321
OpenAlex ID: W2020809914
description: scientific article; zbMATH DE number 5704118