A note on the carr\'e du champ on the Poisson space
Probability
2020-07-27 v1 Functional Analysis
Abstract
The goal of this short note is to establish, in complete generality, the representation for the carr\'e du champ operator associated with the Ornstein-Uhlenbeck semi-group on the Poisson space in terms of the add-one and drop-one operators.
Cite
@article{arxiv.2007.12491,
title = {A note on the carr\'e du champ on the Poisson space},
author = {Ronan Herry},
journal= {arXiv preprint arXiv:2007.12491},
year = {2020}
}
Comments
6 pages, comments are welcome. Originally part of arXiv:1910.10181 that has been split in two parts