| Poincar and Weak Poincar Inequalities for the Mixed Poisson Measure |
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| 基金项目： | Supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20130141120036);the International Postdoctoral Exchange Fellowship Program(2013);the Fundamental Research Funds for the Central Universities |
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| 摘 要： | By using the Mecke identity, we study a class of birth-death type Dirichlet forms associated with the mixed Poisson measure. Both Poincar and weak Poincar inequalities are established, while another Poincar type inequality is disproved under some reasonable assumptions.
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| 关 键 词： | 庞加莱型 不等式 混合 松 狄氏型 |
Poincaré and weak Poincaré inequalities for the mixed Poisson measure |
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| Authors: | Chang Song Deng |
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| Institution: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P. R. China
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| Abstract: | By using the Mecke identity, we study a class of birth-death type Dirichlet forms associated with the mixed Poisson measure. Both Poincaré and weak Poincaré inequalities are established, while another Poincaré type inequality is disproved under some reasonable assumptions. |
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| Keywords: | Mixed Poisson measure Poincare inequality configuration space birth-death process |
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