In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli and Silvestre and a class of conformally covariant operators in conformal geometry.
All Science Journal Classification (ASJC) codes
- Asymptotically hyperbolic manifolds
- Conformal geometry
- Conformally covariant operators
- Dirichlet-to-Neumann operators
- Fractional Laplacian