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Title: | Restricted hypercontractivity on the Poisson space |
Authors: | Nourdin, I Peccati, G Yang, X |
Issue Date: | 8-May-2020 |
Publisher: | American Mathematical Society |
Citation: | Nourdin, I., Peccati G. and Yang, X. (2020) 'Restricted hypercontractivity on the Poisson space', Proceedings of the American Mathematical Society, 148 (8), pp. 3617 - 3632. doi: 10.1090/proc/14964. |
Abstract: | We show that the Ornstein-Uhlenbeck semigroup associated with a general Poisson random measure is hypercontractive, whenever it is restricted to non-increasing mappings on configuration spaces. We deduce from this result some versions of Talagrand’s L1-L2 inequality for increasing and concave mappings, and we build examples showing that such an estimate represents a strict improvement of the classical Poincaré inequality. We complement our finding with several results of independent interest, such as gradient estimates and an inequality with isoperimetric content. |
URI: | https://bura.brunel.ac.uk/handle/2438/24909 |
DOI: | https://doi.org/10.1090/proc/14964 |
ISSN: | 0002-9939 |
Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
File | Description | Size | Format | |
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FullText.pdf | First published in Proc. Amer. Math. Soc. 148 (2020), 3617-3632 (August 2020), published by the American Mathematical Society. © 2020 American Mathematical Society. | 438.47 kB | Adobe PDF | View/Open |
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