Weak Poincaré inequalities and hitting times for jump processes

Abstract In this paper, we get a criteria of weak Poincaré inequality by some integrability of hitting times for jump processes. In fact, integrability of hitting times on a subset F of state space E implies that the taboo process restricted on E ∖ F $E\setminus F$ is decay, from which we get a weak...

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Bibliographic Details
Main Authors: Huihui Cheng, Hongde Xiao
Format: Article
Language:English
Published: SpringerOpen 2016-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1134-9