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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5848| Title: | On higher order Poincare inequalities with radial derivatives and Hardy improvements on the hyperbolic space |
| Authors: | ROYCHOWDHURY, PRASUN Dept. of Mathematics |
| Keywords: | Higher order Poincar̩ inequality Poincare-Hardy inequality Hyperbolic space 2021-APR-WEEK3 TOC-APR-2021 2021 |
| Issue Date: | Mar-2021 |
| Publisher: | Springer Nature |
| Citation: | Annali di Matematica Pura ed Applicata, 200, 2333–2360. |
| Abstract: | In this paper we prove higher order PoincarÌ© inequalities involving radial derivatives namely, ‰öÇHN|‰öàkr,HNu|2dvHN‰ä´(N‰öÕ12)2(k‰öÕl)‰öÇHN|‰öàlr,HNu|2dvHN for all u‰ööHk(HN), where underlying space is N-dimensional hyperbolic space HN, 0‰ä?l<k are integers and the constant (N‰öÕ12)2(k‰öÕl) is sharp. Furthermore we improve the above inequalities by adding Hardy-type remainder terms and the sharpness of some constants is also discussed. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5848 https://doi.org/10.1007/s10231-021-01083-9 |
| ISSN: | 0373-3114 1618-1891 |
| Appears in Collections: | JOURNAL ARTICLES |
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