Perturbations of Functional Inequalities for Lévy Type Dirichlet Forms

2013/03/29 by Xin Chen, Feng-Yu Wang, Chen, Xin +3
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #math.FA #math.PR

paper · pdf · doi:10.48550/arxiv.1303.7349

arxiv created 2015/01/25 · arxiv updated 2015/01/27

Abstract

Perturbations of super Poincaré and weak Poincaré inequalities for Lévy type Dirichlet forms are studied. When the range of jumps is finite our results are natural extensions to the corresponding ones derived earlier for diffusion processes; and we show that the study for the situation with infinite range of jumps is essentially different. Some examples are presented to illustrate the optimality of our results.

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