Harnack inequality on configuration spaces: The coupling approach and a unified treatment

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:124

Article

Deng, Chang-Song

关键词: Harnack inequality;    Configuration space;    Second quantization;    Coupling;   

DOI  :  10.1016/j.spa.2013.07.008

来源: Elsevier

【 摘 要 】

In this paper, we establish the dimension-free Harnack inequality on configuration spaces by using the coupling argument. Furthermore, a unified treatment is also used to prove the equivalence between the Harnack inequality on configuration space and that on the corresponding base space under a very mild condition. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free