Brunel University Research Archive(BURA) preserves and enables easy and open access to all
types of digital content. It showcases Brunel's research outputs.
Research contained within BURA is open access, although some publications may be subject
to publisher imposed embargoes. All awarded PhD theses are also archived on BURA.
Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/24909Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Nourdin, I | - |
| dc.contributor.author | Peccati, G | - |
| dc.contributor.author | Yang, X | - |
| dc.date.accessioned | 2022-07-14T20:13:27Z | - |
| dc.date.available | 2022-07-14T20:13:27Z | - |
| dc.date.issued | 2020-05-08 | - |
| dc.identifier.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. | en_US |
| dc.identifier.issn | 0002-9939 | - |
| dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/24909 | - |
| dc.description.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. | en_US |
| dc.description.sponsorship | FNR grant APOGee; FNR grant FoRGES (R-AGR-3376-10); FNR Grant MISSILe (R-AGR-3410-12-Z). | - |
| dc.format.extent | 3617 - 3632 | - |
| dc.format.medium | Print-Electronic | - |
| dc.language.iso | en_US | en_US |
| dc.publisher | American Mathematical Society | en_US |
| dc.rights | An author’s draft version of the work, either before or after peer review, may be reproduced (under license no less restrictive than the CC BY-NC-ND Creative Commons License) by any means for educational and scientific purposes by the author(s). This means that the pre-publication draft of the work may be posted on the author’s personal website, contributed to the author’s institutional repository, and/or posted on pre-print servers such as arXiv.org, all provided that no commercial use of the material is made (no fees may be charged for access to or use of the material) and no derivative works are included. Citation: First published in Proc. Amer. Math. Soc. 148 (2020), 3617-3632 (August 2020), published by the American Mathematical Society. © 2020 American Mathematical Society. | - |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
| dc.title | Restricted hypercontractivity on the Poisson space | en_US |
| dc.type | Article | en_US |
| dc.identifier.doi | https://doi.org/10.1090/proc/14964 | - |
| dc.relation.isPartOf | Proceedings of the American Mathematical Society | - |
| pubs.issue | 8 | - |
| pubs.publication-status | Published | - |
| pubs.volume | 148 | - |
| dc.identifier.eissn | 1088-6826 | - |
| dc.rights.holder | American Mathematical Society | - |
| Appears in Collections: | Dept of Mathematics Research Papers | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 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 |
This item is licensed under a Creative Commons License
