Hardy–Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs

ROYCHOWDHURY, PRASUN; Ganguly, Debdip; Berchio, Elvise

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dc.contributor.author	Berchio, Elvise	en_US
dc.contributor.author	Ganguly, Debdip	en_US
dc.contributor.author	ROYCHOWDHURY, PRASUN	en_US
dc.date.accessioned	2022-05-23T10:39:23Z
dc.date.available	2022-05-23T10:39:23Z
dc.date.issued	2022-08	en_US
dc.identifier.citation	Calculus of Variations and Partial Differential Equations, 61(4), 130.	en_US
dc.identifier.issn	0944-2669	en_US
dc.identifier.issn	1432-0835	en_US
dc.identifier.uri	https://doi.org/10.1007/s00526-022-02232-5	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6988
dc.description.abstract	We prove a family of Hardy–Rellich and Poincaré identities and inequalities on the hyperbolic space having, as particular cases, improved Hardy-Rellich, Rellich and second order Poincaré inequalities. All remainder terms provided improve those already known in literature, and all identities hold with same constants for radial operators also. Furthermore, as applications of the main results, second order versions of the uncertainty principle on the hyperbolic space are derived.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Riemannian-manifolds	en_US
dc.subject	Inequalities	en_US
dc.subject	2022-MAY-WEEK3	en_US
dc.subject	TOC-MAY2022	en_US
dc.subject	2022	en_US
dc.title	Hardy–Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Calculus of Variations and Partial Differential Equations	en_US
dc.publication.originofpublisher	Foreign	en_US