Publication details

Sharp exponential inequalities for the Ornstein-Uhlenbeck operator

Authors

CIANCHI Andrea MUSIL Vít PICK Luboš

Year of publication 2021
Type Article in Periodical
Magazine / Source Journal of Functional Analysis
MU Faculty or unit

Faculty of Informatics

Citation
Web https://www.sciencedirect.com/science/article/pii/S0022123621002998
Doi http://dx.doi.org/10.1016/j.jfa.2021.109217
Keywords Ornstein-Uhlenbeck operator; Gauss space; Sharp exponential constants; Extremal functions
Attached files
Description The optimal constants in a class of exponential type inequalities for the Ornstein-Uhlenbeck operator in the Gauss space are detected. The existence of extremal functions in the relevant inequalities is also established. Our results disclose analogies and dissimilarities in comparison with Adams' inequality for the Laplace operator, a companion of our inequalities in the Euclidean space.

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