Some Sharp L^2 Inequalities for Dirac Type Operators
We use the spectra of Dirac type operators on the sphere $S^n$ to produce sharp $L^2$ inequalities on the sphere. These operators include the Dirac operator on $S^n$, the conformal Laplacian and Paenitz operator. We use the Cayley transform, or stereographic projection, to obtain similar inequalitie...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2007-11-01
|
Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://www.emis.de/journals/SIGMA/2007/114/ |