Poincaré and Weak Poincaré Inequalities for the Mixed Poisson Measures (1110.5052v4)

Published 23 Oct 2011 in math.PR

Abstract: By using the Mecke identity, we study a class of birth-death type Dirichlet forms associated with the mixed Poisson measure. Both Poincar\'{e} and weak Poincar\'{e} inequalities are established, while another Poincar\'{e} type inequality is disproved under some reasonable assumptions.

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Authors (1)

Chang-Song Deng

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