Sharp exponential inequalities for the Ornstein-Uhlenbeck operator
نویسندگان
چکیده
The optimal constants in a class of exponential type inequalities for the Ornstein-Uhlenbeck operator Gauss space are detected. existence extremal functions relevant is also established. Our results disclose analogies and dissimilarities comparison with Adams' inequality Laplace operator, companion our Euclidean space.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2021
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2021.109217