Energy image density property and the lent particle method for Poisson measures

@inproceedings{Bouleau2009EnergyID,
  title={Energy image density property and the lent particle method for Poisson measures},
  author={Nicolas Bouleau and Laurent Denis},
  year={2009}
}
We introduce a new approach to absolute continuity of laws of Poisson functionals. It is based on the energy image density property for Dirichlet forms. The associated gradient is a local operator and gives rise to a nice formula called the lent particle method which consists in adding a particle and taking it back after some calculation. AMS 2000 subject classifications: Primary 60G57, 60H05 ; secondary 60J45,60G51