Some Sharp L² Inequalities for Dirac Type Operators

dc.contributor.authorBalinsky, A.
dc.contributor.authorRyan, J.
dc.date.accessioned2019-02-13T19:13:03Z
dc.date.available2019-02-13T19:13:03Z
dc.date.issued2007
dc.description.abstractWe 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.sponsorshipThis 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.identifier.citationSome 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.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 15A66; 26D10; 34L40
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147216
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleSome Sharp L² Inequalities for Dirac Type Operatorsuk_UA
dc.typeArticleuk_UA

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