On the Bohnenblust-Hille inequality and a variant of Littlewood's 4/3 inequality
| dc.contributor.author | Nuñez Alarcón, D | |
| dc.contributor.author | Pellegrino, Daniel | |
| dc.contributor.author | Seoane Sepúlveda, Juan Benigno | |
| dc.date.accessioned | 2023-06-20T00:25:23Z | |
| dc.date.available | 2023-06-20T00:25:23Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | The search for sharp constants for inequalities of the type Littlewood's 4/3 and Bohnenblust-Hille has lately shown unexpected applications in many fields such as Analytic Number Theory, Quantum Information Theory, or in results on n-dimensional Bohr radii. Recent estimates obtained for the multilinear Bohnenblust-Hille inequality (for real scalars) have been used, as a crucial tool, by A. Montanaro in order to solve problems in Quantum XOR games. Here, among other results, we obtain new upper bounds for the Bohnenblust-Hille constants (for complex scalars). For bilinear forms, we provide optimal constants of variants of Littlewood's 4/3 inequality (for real scalars) when the exponent 4/3 is replaced by any r >= 4/3. We also prove that the optimal constants in real case are always strictly greater than those from the complex case. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | CNPq | |
| dc.description.sponsorship | Ministry of Science and Innovation | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/19924 | |
| dc.identifier.doi | 10.1016/j.jfa.2012.10.013 | |
| dc.identifier.issn | 0022-1236 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0022123612003886 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.relatedurl | http://arxiv.org/pdf/1203.3043v4.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42546 | |
| dc.issue.number | 1 | |
| dc.journal.title | Journal of Functional Analysis | |
| dc.language.iso | eng | |
| dc.page.final | 336 | |
| dc.page.initial | 326 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | 301237/2009-3. | |
| dc.relation.projectID | MTM2009-07848. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 530.1 | |
| dc.subject.keyword | Bohnenblust–Hille Theorem | |
| dc.subject.keyword | Littlewood’s 4/3 inequality | |
| dc.subject.keyword | Steinhaus random variables | |
| dc.subject.ucm | Física matemática | |
| dc.title | On the Bohnenblust-Hille inequality and a variant of Littlewood's 4/3 inequality | |
| dc.type | journal article | |
| dc.volume.number | 264 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e85d6b14-0191-4b04-b29b-9589f34ba898 | |
| relation.isAuthorOfPublication.latestForDiscovery | e85d6b14-0191-4b04-b29b-9589f34ba898 |
