On the Generalized Ornstein-Uhlenbeck Semigroup
Functional Analysis
2023-12-05 v4
Abstract
We give several functional inequalities related to the Ornstein-Uhlenbeck semigroup in the Dunkl differential-difference operators setting. As an application of these inequalities, we derive out a Sobolev-logarithmic and an hypercontractivity properties for this semigroup
Cite
@article{arxiv.1907.13474,
title = {On the Generalized Ornstein-Uhlenbeck Semigroup},
author = {Mostafa Maslouhi and El houssain Lamine},
journal= {arXiv preprint arXiv:1907.13474},
year = {2023}
}
Comments
some results were not satisfactory