Some Sharp L² Inequalities for Dirac Type Operators
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 pow...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2007 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147216 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862726714911621120 |
|---|---|
| author | Balinsky, A. Ryan, J. |
| author_facet | Balinsky, A. Ryan, J. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T18:59:41Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147216 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:59:41Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Balinsky, A. Ryan, J. 2019-02-13T19:13:03Z 2019-02-13T19:13:03Z 2007 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. 1815-0659 2000 Mathematics Subject Classification: 15A66; 26D10; 34L40 https://nasplib.isofts.kiev.ua/handle/123456789/147216 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Some Sharp L² Inequalities for Dirac Type Operators Article published earlier |
| spellingShingle | Some Sharp L² Inequalities for Dirac Type Operators Balinsky, A. Ryan, J. |
| title | Some Sharp L² Inequalities for Dirac Type Operators |
| title_full | Some Sharp L² Inequalities for Dirac Type Operators |
| title_fullStr | Some Sharp L² Inequalities for Dirac Type Operators |
| title_full_unstemmed | Some Sharp L² Inequalities for Dirac Type Operators |
| title_short | Some Sharp L² Inequalities for Dirac Type Operators |
| title_sort | some sharp l² inequalities for dirac type operators |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147216 |
| work_keys_str_mv | AT balinskya somesharpl2inequalitiesfordiractypeoperators AT ryanj somesharpl2inequalitiesfordiractypeoperators |