Harnack Inequalities for Jump Processes

被引:0
|
作者
Richard F. Bass
David A. Levin
机构
[1] University of Connecticut,Department of Mathematics
来源
Potential Analysis | 2002年 / 17卷
关键词
Harnack inequality; jump processes; stable processes; Lévy systems; integral equations;
D O I
暂无
中图分类号
学科分类号
摘要
We consider a class of pure jump Markov processes in Rd whose jump kernels are comparable to those of symmetric stable processes. We establish a Harnack inequality for nonnegative functions that are harmonic with respect to these processes. We also establish regularity for the solutions to certain integral equations.
引用
收藏
页码:375 / 388
页数:13
相关论文
共 50 条
  • [1] Harnack inequalities for jump processes
    Bass, RF
    Levin, DA
    POTENTIAL ANALYSIS, 2002, 17 (04) : 375 - 388
  • [2] Harnack Inequalities and Applications for Ornstein–Uhlenbeck Semigroups with Jump
    Shun-Xiang Ouyang
    Michael Röckner
    Feng-Yu Wang
    Potential Analysis, 2012, 36 : 301 - 315
  • [3] Harnack Inequalities for some Levy Processes
    Mimica, Ante
    POTENTIAL ANALYSIS, 2010, 32 (03) : 275 - 303
  • [4] Properties of switching jump diffusions: Maximum principles and Harnack inequalities
    Chen, Xiaoshan
    Chen, Zhen-Qing
    Tran, Ky
    Yin, George
    BERNOULLI, 2019, 25 (02) : 1045 - 1075
  • [5] Harnack Inequalities and Applications for Ornstein-Uhlenbeck Semigroups with Jump
    Ouyang, Shun-Xiang
    Roeckner, Michael
    Wang, Feng-Yu
    POTENTIAL ANALYSIS, 2012, 36 (02) : 301 - 315
  • [6] Harnack Inequalities for some Lévy Processes
    Ante Mimica
    Potential Analysis, 2010, 32 : 275 - 303
  • [7] Harnack Inequalities for SDEs Driven by Cylindrical α-Stable Processes
    Wang, Linlin
    Zhang, Xicheng
    POTENTIAL ANALYSIS, 2015, 42 (03) : 657 - 669
  • [8] Harnack Inequalities for SDEs Driven by Cylindrical α-Stable Processes
    Linlin Wang
    Xicheng Zhang
    Potential Analysis, 2015, 42 : 657 - 669
  • [9] Harnack inequalities for Ornstein-Uhlenbeck processes driven by Levy processes
    Wang, Jian
    STATISTICS & PROBABILITY LETTERS, 2011, 81 (09) : 1436 - 1444
  • [10] Mean Value Inequalities for Jump Processes
    Chen, Zhen-Qing
    Kumagai, Takashi
    Wang, Jian
    STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND RELATED FIELDS: IN HONOR OF MICHAEL ROCKNER, SPDERF, 2018, 229 : 421 - 437