paper

A note on the carré du champ on the Poisson space

arXiv:2007.12491

Abstract

The goal of this short note is to establish, in complete generality, the representation for the carré du champ operator associated with the Ornstein-Uhlenbeck semi-group on the Poisson space in terms of the add-one and drop-one operators.

6 pages, comments are welcome. Originally part of arXiv:1910.10181 that has been split in two parts

A note on the carré du champ on the Poisson space · wovepaper