On higher order Poincare inequalities with radial derivatives and Hardy improvements on the hyperbolic space

ROYCHOWDHURY, PRASUN

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dc.contributor.author	ROYCHOWDHURY, PRASUN	en_US
dc.date.accessioned	2021-04-30T10:52:06Z
dc.date.available	2021-04-30T10:52:06Z
dc.date.issued	2021-03	en_US
dc.identifier.citation	Annali di Matematica Pura ed Applicata, 200, 2333–2360.	en_US
dc.identifier.issn	0373-3114	en_US
dc.identifier.issn	1618-1891	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5848
dc.identifier.uri	https://doi.org/10.1007/s10231-021-01083-9	en_US
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Higher order PoincarÌ© inequality	en_US
dc.subject	Poincare-Hardy inequality	en_US
dc.subject	Hyperbolic space	en_US
dc.subject	2021-APR-WEEK3	en_US
dc.subject	TOC-APR-2021	en_US
dc.subject	2021	en_US
dc.title	On higher order Poincare inequalities with radial derivatives and Hardy improvements on the hyperbolic space	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Annali di Matematica Pura ed Applicata	en_US
dc.publication.originofpublisher	Foreign	en_US