On some strong Poincaré inequalities on Riemannian models and their improvements
| dc.contributor.author | Berchio, Elvise | en_US |
| dc.contributor.author | Ganguly, Debdip | en_US |
| dc.contributor.author | ROYCHOWDHURY, PRASUN | en_US |
| dc.contributor.department | Dept. of Mathematics | en_US |
| dc.date.accessioned | 2020-06-12T06:08:42Z | |
| dc.date.available | 2020-06-12T06:08:42Z | |
| dc.date.issued | 2020-10 | en_US |
| dc.description.abstract | We prove second and fourth order improved Poincaré type inequalities on the hyperbolic space involving Hardy-type remainder terms. Since theirs l.h.s. only involve the radial part of the gradient or of the laplacian, they can be seen as stronger versions of the classical Poincaré inequality. We show that such inequalities hold true on model manifolds as well, under suitable curvature assumptions and sharpness of some constants is also discussed. | en_US |
| dc.identifier.citation | Journal of Mathematical Analysis and Applications, 490(1). | en_US |
| dc.identifier.issn | 0022-247X | en_US |
| dc.identifier.issn | 1096-0813 | en_US |
| dc.identifier.sourcetitle | Journal of Mathematical Analysis and Applications | en_US |
| dc.identifier.uri | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4689 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jmaa.2020.124213 | |
| dc.language.iso | en | en_US |
| dc.publication.originofpublisher | Foreign | en_US |
| dc.publisher | Elsevier B.V. | en_US |
| dc.subject | Poincaré-Hardy inequality | en_US |
| dc.subject | Poincaré-Rellich inequality | en_US |
| dc.subject | Hyperbolic space | en_US |
| dc.subject | Riemannian model manifolds | en_US |
| dc.subject | TOC-JUN-2020 | en_US |
| dc.subject | 2020 | en_US |
| dc.subject | 2020-JUN-WEEK2 | en_US |
| dc.title | On some strong Poincaré inequalities on Riemannian models and their improvements | en_US |
| dc.type | Article | en_US |