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25 April 2024

» arxiv » 1303.7349

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Perturbations of Functional Inequalities for L'evy Type Dirichlet Forms
Xin Chen ; Feng-Yu Wang ; Jian Wang ;
Date:	29 Mar 2013
Abstract:	Perturbations of super Poincar’{e} and weak Poincar’{e} inequalities for L’evy 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.
Source:	arXiv, 1303.7349
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