Some Sharp L² Inequalities for Dirac Type Operators

dc.contributor.author	Balinsky, A.
dc.contributor.author	Ryan, J.
dc.date.accessioned	2019-02-13T19:13:03Z
dc.date.available	2019-02-13T19:13:03Z
dc.date.issued	2007
dc.identifier.citation	Some Sharp L² Inequalities for Dirac Type Operators / A. Balinsky, J. Ryan // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 16 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 15A66; 26D10; 34L40
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147216
dc.description.abstract	We use the spectra of Dirac type operators on the sphere Sn to produce sharp L² inequalities on the sphere. These operators include the Dirac operator on Sn, the conformal Laplacian and Paenitz operator. We use the Cayley transform, or stereographic projection, to obtain similar inequalities for powers of the Dirac operator and their inverses in Rn.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. The authors are grateful to the Royal Society for support of this work under grant 2007/R1.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Some Sharp L² Inequalities for Dirac Type Operators	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA