A Class of Singular Symmetric Markov Processes

被引：7

作者：

Xu, Fangjun ^{[1
]}

机构：

[1] Univ Kansas, Dept Math, Lawrence, KS 66045 USA

来源：

POTENTIAL ANALYSIS | 2013年 / 38卷 / 01期

关键词：

Dirichlet form; Levy process; Stable process; Nash inequality; Harmonic function; Support theorem; Holder continuity; HEAT KERNELS; INEQUALITIES; REGULARITY;

D O I：

10.1007/s11118-011-9270-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of pure jump Markov processes in whose jump kernels are comparable to that of a certain d-dimensional L,vy process. Upper and lower bounds for the transition densities of these processes are obtained. We show that bounded harmonic functions associated with these processes are Holder continuous.

引用

页码：207 / 232

页数：26

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