摘要
By using the Mecke identity, we study a class of birth-death type Dirichlet forms associated with the mixed Poisson measure. Both Poincare and weak Poincare inequalities are established, while another Poincare type inequality is disproved under some reasonable assumptions.
By using the Mecke identity, we study a class of birth-death type Dirichlet forms associated with the mixed Poisson measure. Both Poincare and weak Poincare inequalities are established, while another Poincare type inequality is disproved under some reasonable assumptions.
基金
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
