Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel

被引：9

作者：

Kim, Panki ^{[1
,2
]}

Lee, Jaehun ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Bldg 27,1 Gwanak Ro, Seoul 08826, South Korea

[2] Seoul Natl Univ, Res Inst Math, Bldg 27,1 Gwanak Ro, Seoul 08826, South Korea

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2019年 / 129卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

Heat kernel estimates; Unimodal Levy process; Non-symmetric operator; Non-symmetric Markov process; DENSITIES;

D O I：

10.1016/j.spa.2018.07.003

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper we study the transition densities for a large class of non-symmetric Markov processes whose jumping kernels decay exponentially or subexponentially. We obtain their upper bounds which also decay at the same rate as their jumping kernels. When the lower bounds of jumping kernels satisfy the weak upper scaling condition at zero, we also establish lower bounds for the transition densities, which are sharp. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：2130 / 2173

页数：44

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