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.
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页码：207 / 232
页数：26
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